---
_id: '15002'
abstract:
- lang: eng
text: "The lattice Schwinger model, the discrete version of QED in \r\n1\r\n+\r\n1\r\n
dimensions, is a well-studied test bench for lattice gauge theories. Here, we
study the fractal properties of this model. We reveal the self-similarity of the
ground state, which allows us to develop a recurrent procedure for finding the
ground-state wave functions and predicting ground-state energies. We present the
results of recurrently calculating ground-state wave functions using the fractal
Ansatz and automized software package for fractal image processing. In certain
parameter regimes, just a few terms are enough for our recurrent procedure to
predict ground-state energies close to the exact ones for several hundreds of
sites. Our findings pave the way to understanding the complexity of calculating
many-body wave functions in terms of their fractal properties as well as finding
new links between condensed matter and high-energy lattice models."
acknowledgement: "We thank A. Bargov, I. Khaymovich, and V. Tiunova for fruitful discussions
and for useful comments. M. C. B. thanks S. Kühn for discussions about the phase
structure of the model. A. K. F. thanks V. Gritsev and A. Garkun for insightful
comments. E. V. P., E. S. T., and A. K. F. are\r\nsupported by the RSF Grant No.
20-42-05002 (studying the fractal Ansatz) and the Roadmap on Quantum Computing (Contract
No. 868-1.3-15/15-2021, October 5, 2021; calculating on GS energies). A. K. F. thanks
the Priority 2030 program at the NIST “MISIS” under the project No. K1-2022-027.
M. C. B. was partly funded by the Deutsche Forschungsgemeinschaft (DFG, German Research
Foundation) under Germany’s Excellence Strategy—EXC-2111–390814868."
article_number: '050401'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Elena
full_name: Petrova, Elena
id: 0ac84990-897b-11ed-a09c-f5abb56a4ede
last_name: Petrova
- first_name: Egor S.
full_name: Tiunov, Egor S.
last_name: Tiunov
- first_name: Mari Carmen
full_name: Bañuls, Mari Carmen
last_name: Bañuls
- first_name: Aleksey K.
full_name: Fedorov, Aleksey K.
last_name: Fedorov
citation:
ama: Petrova E, Tiunov ES, Bañuls MC, Fedorov AK. Fractal states of the Schwinger
model. Physical Review Letters. 2024;132(5). doi:10.1103/PhysRevLett.132.050401
apa: Petrova, E., Tiunov, E. S., Bañuls, M. C., & Fedorov, A. K. (2024). Fractal
states of the Schwinger model. Physical Review Letters. American Physical
Society. https://doi.org/10.1103/PhysRevLett.132.050401
chicago: Petrova, Elena, Egor S. Tiunov, Mari Carmen Bañuls, and Aleksey K. Fedorov.
“Fractal States of the Schwinger Model.” Physical Review Letters. American
Physical Society, 2024. https://doi.org/10.1103/PhysRevLett.132.050401.
ieee: E. Petrova, E. S. Tiunov, M. C. Bañuls, and A. K. Fedorov, “Fractal states
of the Schwinger model,” Physical Review Letters, vol. 132, no. 5. American
Physical Society, 2024.
ista: Petrova E, Tiunov ES, Bañuls MC, Fedorov AK. 2024. Fractal states of the Schwinger
model. Physical Review Letters. 132(5), 050401.
mla: Petrova, Elena, et al. “Fractal States of the Schwinger Model.” Physical
Review Letters, vol. 132, no. 5, 050401, American Physical Society, 2024,
doi:10.1103/PhysRevLett.132.050401.
short: E. Petrova, E.S. Tiunov, M.C. Bañuls, A.K. Fedorov, Physical Review Letters
132 (2024).
date_created: 2024-02-18T23:01:00Z
date_published: 2024-01-30T00:00:00Z
date_updated: 2024-02-26T08:03:31Z
day: '30'
department:
- _id: MaSe
doi: 10.1103/PhysRevLett.132.050401
external_id:
arxiv:
- '2201.10220'
intvolume: ' 132'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2201.10220
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fractal states of the Schwinger model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 132
year: '2024'
...
---
_id: '14320'
abstract:
- lang: eng
text: The development of two-dimensional materials has resulted in a diverse range
of novel, high-quality compounds with increasing complexity. A key requirement
for a comprehensive quantitative theory is the accurate determination of these
materials' band structure parameters. However, this task is challenging due to
the intricate band structures and the indirect nature of experimental probes.
In this work, we introduce a general framework to derive band structure parameters
from experimental data using deep neural networks. We applied our method to the
penetration field capacitance measurement of trilayer graphene, an effective probe
of its density of states. First, we demonstrate that a trained deep network gives
accurate predictions for the penetration field capacitance as a function of tight-binding
parameters. Next, we use the fast and accurate predictions from the trained network
to automatically determine tight-binding parameters directly from experimental
data, with extracted parameters being in a good agreement with values in the literature.
We conclude by discussing potential applications of our method to other materials
and experimental techniques beyond penetration field capacitance.
acknowledgement: A.F.Y. acknowledges primary support from the Department of Energy
under award DE-SC0020043, and additional support from the Gordon and Betty Moore
Foundation under award GBMF9471 for group operations.
article_number: '125411'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Paul M
full_name: Henderson, Paul M
id: 13C09E74-18D9-11E9-8878-32CFE5697425
last_name: Henderson
orcid: 0000-0002-5198-7445
- first_name: Areg
full_name: Ghazaryan, Areg
id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
last_name: Ghazaryan
orcid: 0000-0001-9666-3543
- first_name: Alexander A.
full_name: Zibrov, Alexander A.
last_name: Zibrov
- first_name: Andrea F.
full_name: Young, Andrea F.
last_name: Young
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: 'Henderson PM, Ghazaryan A, Zibrov AA, Young AF, Serbyn M. Deep learning extraction
of band structure parameters from density of states: A case study on trilayer
graphene. Physical Review B. 2023;108(12). doi:10.1103/physrevb.108.125411'
apa: 'Henderson, P. M., Ghazaryan, A., Zibrov, A. A., Young, A. F., & Serbyn,
M. (2023). Deep learning extraction of band structure parameters from density
of states: A case study on trilayer graphene. Physical Review B. American
Physical Society. https://doi.org/10.1103/physrevb.108.125411'
chicago: 'Henderson, Paul M, Areg Ghazaryan, Alexander A. Zibrov, Andrea F. Young,
and Maksym Serbyn. “Deep Learning Extraction of Band Structure Parameters from
Density of States: A Case Study on Trilayer Graphene.” Physical Review B.
American Physical Society, 2023. https://doi.org/10.1103/physrevb.108.125411.'
ieee: 'P. M. Henderson, A. Ghazaryan, A. A. Zibrov, A. F. Young, and M. Serbyn,
“Deep learning extraction of band structure parameters from density of states:
A case study on trilayer graphene,” Physical Review B, vol. 108, no. 12.
American Physical Society, 2023.'
ista: 'Henderson PM, Ghazaryan A, Zibrov AA, Young AF, Serbyn M. 2023. Deep learning
extraction of band structure parameters from density of states: A case study on
trilayer graphene. Physical Review B. 108(12), 125411.'
mla: 'Henderson, Paul M., et al. “Deep Learning Extraction of Band Structure Parameters
from Density of States: A Case Study on Trilayer Graphene.” Physical Review
B, vol. 108, no. 12, 125411, American Physical Society, 2023, doi:10.1103/physrevb.108.125411.'
short: P.M. Henderson, A. Ghazaryan, A.A. Zibrov, A.F. Young, M. Serbyn, Physical
Review B 108 (2023).
date_created: 2023-09-12T07:12:12Z
date_published: 2023-09-15T00:00:00Z
date_updated: 2023-09-20T09:38:24Z
day: '15'
department:
- _id: MaSe
- _id: ChLa
- _id: MiLe
doi: 10.1103/physrevb.108.125411
external_id:
arxiv:
- '2210.06310'
intvolume: ' 108'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2210.06310
month: '09'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Deep learning extraction of band structure parameters from density of states:
A case study on trilayer graphene'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2023'
...
---
_id: '14334'
abstract:
- lang: eng
text: Quantum kinetically constrained models have recently attracted significant
attention due to their anomalous dynamics and thermalization. In this work, we
introduce a hitherto unexplored family of kinetically constrained models featuring
conserved particle number and strong inversion-symmetry breaking due to facilitated
hopping. We demonstrate that these models provide a generic example of so-called
quantum Hilbert space fragmentation, that is manifested in disconnected sectors
in the Hilbert space that are not apparent in the computational basis. Quantum
Hilbert space fragmentation leads to an exponential in system size number of eigenstates
with exactly zero entanglement entropy across several bipartite cuts. These eigenstates
can be probed dynamically using quenches from simple initial product states. In
addition, we study the particle spreading under unitary dynamics launched from
the domain wall state, and find faster than diffusive dynamics at high particle
densities, that crosses over into logarithmically slow relaxation at smaller densities.
Using a classically simulable cellular automaton, we reproduce the logarithmic
dynamics observed in the quantum case. Our work suggests that particle conserving
constrained models with inversion symmetry breaking realize so far unexplored
dynamical behavior and invite their further theoretical and experimental studies.
acknowledgement: "We would like to thank Raimel A. Medina, Hansveer Singh, and Dmitry
Abanin for useful\r\ndiscussions.The authors acknowledge support by the European
Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation
program (Grant\r\nAgreement No. 850899). We acknowledge support by the Erwin Schrödinger
International\r\nInstitute for Mathematics and Physics (ESI)."
article_number: '093'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
orcid: 0000-0003-0038-7068
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics
in particle-conserving quantum East models. SciPost Physics. 2023;15(3).
doi:10.21468/scipostphys.15.3.093
apa: Brighi, P., Ljubotina, M., & Serbyn, M. (2023). Hilbert space fragmentation
and slow dynamics in particle-conserving quantum East models. SciPost Physics.
SciPost Foundation. https://doi.org/10.21468/scipostphys.15.3.093
chicago: Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation
and Slow Dynamics in Particle-Conserving Quantum East Models.” SciPost Physics.
SciPost Foundation, 2023. https://doi.org/10.21468/scipostphys.15.3.093.
ieee: P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow
dynamics in particle-conserving quantum East models,” SciPost Physics,
vol. 15, no. 3. SciPost Foundation, 2023.
ista: Brighi P, Ljubotina M, Serbyn M. 2023. Hilbert space fragmentation and slow
dynamics in particle-conserving quantum East models. SciPost Physics. 15(3), 093.
mla: Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving
Quantum East Models.” SciPost Physics, vol. 15, no. 3, 093, SciPost Foundation,
2023, doi:10.21468/scipostphys.15.3.093.
short: P. Brighi, M. Ljubotina, M. Serbyn, SciPost Physics 15 (2023).
date_created: 2023-09-14T13:08:23Z
date_published: 2023-09-13T00:00:00Z
date_updated: 2023-09-20T10:46:29Z
day: '13'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphys.15.3.093
ec_funded: 1
external_id:
arxiv:
- '2210.15607'
file:
- access_level: open_access
checksum: 4cef6a8021f6b6c47ab2f2f2b1387ac2
content_type: application/pdf
creator: dernst
date_created: 2023-09-20T10:46:10Z
date_updated: 2023-09-20T10:46:10Z
file_id: '14350'
file_name: 2023_SciPostPhysics_Brighi.pdf
file_size: 4866506
relation: main_file
success: 1
file_date_updated: 2023-09-20T10:46:10Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: SciPost Physics
publication_identifier:
issn:
- 2542-4653
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
related_material:
record:
- id: '12750'
relation: earlier_version
status: public
status: public
title: Hilbert space fragmentation and slow dynamics in particle-conserving quantum
East models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2023'
...
---
_id: '14406'
abstract:
- lang: eng
text: "Recently, a concept of generalized multifractality, which characterizes fluctuations
and correlations of critical eigenstates, was introduced and explored for all
10 symmetry classes of disordered systems. Here, by using the nonlinear sigma-model
(\r\nNL\r\nσ\r\nM\r\n) field theory, we extend the theory of generalized multifractality
to boundaries of systems at criticality. Our numerical simulations on two-dimensional
systems of symmetry classes A, C, and AII fully confirm the analytical predictions
of pure-scaling observables and Weyl symmetry relations between critical exponents
of surface generalized multifractality. This demonstrates the validity of the
\r\nNL\r\nσ\r\nM\r\n for the description of Anderson-localization critical phenomena,
not only in the bulk but also on the boundary. The critical exponents strongly
violate generalized parabolicity, in analogy with earlier results for the bulk,
corroborating the conclusion that the considered Anderson-localization critical
points are not described by conformal field theories. We further derive relations
between generalized surface multifractal spectra and linear combinations of Lyapunov
exponents of a strip in quasi-one-dimensional geometry, which hold under the assumption
of invariance with respect to a logarithmic conformal map. Our numerics demonstrate
that these relations hold with an excellent accuracy. Taken together, our results
indicate an intriguing situation: the conformal invariance is broken but holds
partially at critical points of Anderson localization."
acknowledgement: "We thank Ilya Gruzberg for many illuminating discussions. S.S.B.,
J.F.K., and A.D.M. acknowledge support by the Deutsche Forschungsgemeinschaft (DFG)
via the Grant\r\nNo. MI 658/14-1. I.S.B. acknowledges support from Russian Science
Foundation (Grant No. 22-42-04416)."
article_number: '104205'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Serafim
full_name: Babkin, Serafim
id: 41e64307-6672-11ee-b9ad-cc7a0075a479
last_name: Babkin
orcid: 0009-0003-7382-8036
- first_name: Jonas F.
full_name: Karcher, Jonas F.
last_name: Karcher
- first_name: Igor S.
full_name: Burmistrov, Igor S.
last_name: Burmistrov
- first_name: Alexander D.
full_name: Mirlin, Alexander D.
last_name: Mirlin
citation:
ama: Babkin S, Karcher JF, Burmistrov IS, Mirlin AD. Generalized surface multifractality
in two-dimensional disordered systems. Physical Review B. 2023;108(10).
doi:10.1103/PhysRevB.108.104205
apa: Babkin, S., Karcher, J. F., Burmistrov, I. S., & Mirlin, A. D. (2023).
Generalized surface multifractality in two-dimensional disordered systems. Physical
Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.108.104205
chicago: Babkin, Serafim, Jonas F. Karcher, Igor S. Burmistrov, and Alexander D.
Mirlin. “Generalized Surface Multifractality in Two-Dimensional Disordered Systems.”
Physical Review B. American Physical Society, 2023. https://doi.org/10.1103/PhysRevB.108.104205.
ieee: S. Babkin, J. F. Karcher, I. S. Burmistrov, and A. D. Mirlin, “Generalized
surface multifractality in two-dimensional disordered systems,” Physical Review
B, vol. 108, no. 10. American Physical Society, 2023.
ista: Babkin S, Karcher JF, Burmistrov IS, Mirlin AD. 2023. Generalized surface
multifractality in two-dimensional disordered systems. Physical Review B. 108(10),
104205.
mla: Babkin, Serafim, et al. “Generalized Surface Multifractality in Two-Dimensional
Disordered Systems.” Physical Review B, vol. 108, no. 10, 104205, American
Physical Society, 2023, doi:10.1103/PhysRevB.108.104205.
short: S. Babkin, J.F. Karcher, I.S. Burmistrov, A.D. Mirlin, Physical Review B
108 (2023).
date_created: 2023-10-08T22:01:17Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2023-10-09T07:09:30Z
day: '01'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.108.104205
external_id:
arxiv:
- '2306.09455'
intvolume: ' 108'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2306.09455
month: '09'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized surface multifractality in two-dimensional disordered systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2023'
...
---
_id: '14622'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Stefan
full_name: Sack, Stefan
id: dd622248-f6e0-11ea-865d-ce382a1c81a5
last_name: Sack
orcid: 0000-0001-5400-8508
citation:
ama: 'Sack S. Improving variational quantum algorithms: Innovative initialization
techniques and extensions to qudit systems. 2023. doi:10.15479/at:ista:14622'
apa: 'Sack, S. (2023). Improving variational quantum algorithms: Innovative initialization
techniques and extensions to qudit systems. Institute of Science and Technology
Austria. https://doi.org/10.15479/at:ista:14622'
chicago: 'Sack, Stefan. “Improving Variational Quantum Algorithms: Innovative Initialization
Techniques and Extensions to Qudit Systems.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:14622.'
ieee: 'S. Sack, “Improving variational quantum algorithms: Innovative initialization
techniques and extensions to qudit systems,” Institute of Science and Technology
Austria, 2023.'
ista: 'Sack S. 2023. Improving variational quantum algorithms: Innovative initialization
techniques and extensions to qudit systems. Institute of Science and Technology
Austria.'
mla: 'Sack, Stefan. Improving Variational Quantum Algorithms: Innovative Initialization
Techniques and Extensions to Qudit Systems. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:14622.'
short: 'S. Sack, Improving Variational Quantum Algorithms: Innovative Initialization
Techniques and Extensions to Qudit Systems, Institute of Science and Technology
Austria, 2023.'
date_created: 2023-11-28T10:58:13Z
date_published: 2023-11-30T00:00:00Z
date_updated: 2023-12-13T14:47:25Z
day: '30'
ddc:
- '530'
degree_awarded: PhD
department:
- _id: GradSch
- _id: MaSe
doi: 10.15479/at:ista:14622
ec_funded: 1
file:
- access_level: closed
checksum: 068fd3570506ec42b2faa390de784bc4
content_type: application/pdf
creator: ssack
date_created: 2023-11-30T15:53:10Z
date_updated: 2023-12-01T11:10:46Z
embargo: 2024-11-30
embargo_to: open_access
file_id: '14635'
file_name: PhD_Thesis.pdf
file_size: 11947523
relation: main_file
- access_level: closed
checksum: 0fa3bc0d108aed0ac59d2c6beef2220a
content_type: application/zip
creator: ssack
date_created: 2023-11-30T15:54:11Z
date_updated: 2023-12-01T11:10:46Z
file_id: '14636'
file_name: PhD Thesis (1).zip
file_size: 18422964
relation: source_file
file_date_updated: 2023-12-01T11:10:46Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa_version: Published Version
page: '142'
project:
- _id: bd660c93-d553-11ed-ba76-fb0fb6f49c0d
name: Quantum_Quantum Circuits and Software_Variational quantum algorithms on NISQ
devices
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication_identifier:
issn:
- 2663 - 337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '11471'
relation: part_of_dissertation
status: public
- id: '13125'
relation: part_of_dissertation
status: public
- id: '9760'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
title: 'Improving variational quantum algorithms: Innovative initialization techniques
and extensions to qudit systems'
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14690'
abstract:
- lang: eng
text: Generalized multifractality characterizes system size dependence of pure scaling
local observables at Anderson transitions in all 10 symmetry classes of disordered
systems. Recently, the concept of generalized multifractality has been extended
to boundaries of critical disordered noninteracting systems. Here we study the
generalized boundary multifractality in the presence of electron-electron interaction,
focusing on the spin quantum Hall symmetry class (class C). Employing the two-loop
renormalization group analysis within the Finkel'stein nonlinear sigma model,
we compute the anomalous dimensions of the pure scaling operators located at the
boundary of the system. We find that generalized boundary multifractal exponents
are twice larger than their bulk counterparts. Exact symmetry relations between
generalized boundary multifractal exponents in the case of noninteracting systems
are explicitly broken by the interaction.
acknowledgement: The authors are grateful to J. Karcher and A. Mirlin for collaboration
on the related project. We thank I. Gruzberg and A. Mirlin for useful discussions
and comments. I.S.B. is grateful to M. Parfenov and P. Ostrovsky for collaboration
on the related project. The research was supported by Russian Science Foundation
(Grant No. 22-42-04416).
article_number: '205429'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Serafim
full_name: Babkin, Serafim
id: 41e64307-6672-11ee-b9ad-cc7a0075a479
last_name: Babkin
orcid: 0009-0003-7382-8036
- first_name: I
full_name: Burmistrov, I
last_name: Burmistrov
citation:
ama: Babkin S, Burmistrov I. Boundary multifractality in the spin quantum Hall symmetry
class with interaction. Physical Review B. 2023;108(20). doi:10.1103/PhysRevB.108.205429
apa: Babkin, S., & Burmistrov, I. (2023). Boundary multifractality in the spin
quantum Hall symmetry class with interaction. Physical Review B. American
Physical Society. https://doi.org/10.1103/PhysRevB.108.205429
chicago: Babkin, Serafim, and I Burmistrov. “Boundary Multifractality in the Spin
Quantum Hall Symmetry Class with Interaction.” Physical Review B. American
Physical Society, 2023. https://doi.org/10.1103/PhysRevB.108.205429.
ieee: S. Babkin and I. Burmistrov, “Boundary multifractality in the spin quantum
Hall symmetry class with interaction,” Physical Review B, vol. 108, no.
20. American Physical Society, 2023.
ista: Babkin S, Burmistrov I. 2023. Boundary multifractality in the spin quantum
Hall symmetry class with interaction. Physical Review B. 108(20), 205429.
mla: Babkin, Serafim, and I. Burmistrov. “Boundary Multifractality in the Spin Quantum
Hall Symmetry Class with Interaction.” Physical Review B, vol. 108, no.
20, 205429, American Physical Society, 2023, doi:10.1103/PhysRevB.108.205429.
short: S. Babkin, I. Burmistrov, Physical Review B 108 (2023).
date_created: 2023-12-17T23:00:53Z
date_published: 2023-11-15T00:00:00Z
date_updated: 2023-12-18T08:45:28Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.108.205429
external_id:
arxiv:
- '2308.16852'
intvolume: ' 108'
issue: '20'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2308.16852'
month: '11'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Boundary multifractality in the spin quantum Hall symmetry class with interaction
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2023'
...
---
_id: '13125'
abstract:
- lang: eng
text: 'The quantum approximate optimization algorithm (QAOA) is a variational quantum
algorithm, where a quantum computer implements a variational ansatz consisting
of p layers of alternating unitary operators and a classical computer is used
to optimize the variational parameters. For a random initialization, the optimization
typically leads to local minima with poor performance, motivating the search for
initialization strategies of QAOA variational parameters. Although numerous heuristic
initializations exist, an analytical understanding and performance guarantees
for large p remain evasive.We introduce a greedy initialization of QAOA which
guarantees improving performance with an increasing number of layers. Our main
result is an analytic construction of 2p + 1 transition states—saddle points with
a unique negative curvature direction—for QAOA with p + 1 layers that use the
local minimum of QAOA with p layers. Transition states connect to new local minima,
which are guaranteed to lower the energy compared to the minimum found for p layers.
We use the GREEDY procedure to navigate the exponentially increasing with p number
of local minima resulting from the recursive application of our analytic construction.
The performance of the GREEDY procedure matches available initialization strategies
while providing a guarantee for the minimal energy to decrease with an increasing
number of layers p. '
acknowledgement: 'We thank V. Verteletskyi for a joint collaboration on numerical
studies of the QAOA during his internship at ISTA that inspired analytic results
on TS reported in this work. We acknowledge A. A. Mele and M. Brooks for discussions
and D. Egger, P. Love, and D. Wierichs for valuable feedback on the manuscript.
S.H.S., R.A.M., and M.S. acknowledge support by the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
No. 850899). R.K. is supported by the SFB BeyondC (Grant No. F7107-N38) and the
project QuantumReady (FFG 896217). '
article_number: '062404'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefan
full_name: Sack, Stefan
id: dd622248-f6e0-11ea-865d-ce382a1c81a5
last_name: Sack
orcid: 0000-0001-5400-8508
- first_name: Raimel A
full_name: Medina Ramos, Raimel A
id: CE680B90-D85A-11E9-B684-C920E6697425
last_name: Medina Ramos
orcid: 0000-0002-5383-2869
- first_name: Richard
full_name: Kueng, Richard
last_name: Kueng
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Sack S, Medina Ramos RA, Kueng R, Serbyn M. Recursive greedy initialization
of the quantum approximate optimization algorithm with guaranteed improvement.
Physical Review A. 2023;107(6). doi:10.1103/physreva.107.062404
apa: Sack, S., Medina Ramos, R. A., Kueng, R., & Serbyn, M. (2023). Recursive
greedy initialization of the quantum approximate optimization algorithm with guaranteed
improvement. Physical Review A. American Physical Society. https://doi.org/10.1103/physreva.107.062404
chicago: Sack, Stefan, Raimel A Medina Ramos, Richard Kueng, and Maksym Serbyn.
“Recursive Greedy Initialization of the Quantum Approximate Optimization Algorithm
with Guaranteed Improvement.” Physical Review A. American Physical Society,
2023. https://doi.org/10.1103/physreva.107.062404.
ieee: S. Sack, R. A. Medina Ramos, R. Kueng, and M. Serbyn, “Recursive greedy initialization
of the quantum approximate optimization algorithm with guaranteed improvement,”
Physical Review A, vol. 107, no. 6. American Physical Society, 2023.
ista: Sack S, Medina Ramos RA, Kueng R, Serbyn M. 2023. Recursive greedy initialization
of the quantum approximate optimization algorithm with guaranteed improvement.
Physical Review A. 107(6), 062404.
mla: Sack, Stefan, et al. “Recursive Greedy Initialization of the Quantum Approximate
Optimization Algorithm with Guaranteed Improvement.” Physical Review A,
vol. 107, no. 6, 062404, American Physical Society, 2023, doi:10.1103/physreva.107.062404.
short: S. Sack, R.A. Medina Ramos, R. Kueng, M. Serbyn, Physical Review A 107 (2023).
date_created: 2023-06-07T06:57:32Z
date_published: 2023-06-02T00:00:00Z
date_updated: 2023-12-13T14:47:25Z
day: '02'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physreva.107.062404
ec_funded: 1
external_id:
arxiv:
- '2209.01159'
isi:
- '001016927100012'
file:
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checksum: 0d71423888eeccaa60d8f41197f26306
content_type: application/pdf
creator: dernst
date_created: 2023-06-13T07:28:36Z
date_updated: 2023-06-13T07:28:36Z
file_id: '13131'
file_name: 2023_PhysRevA_Sack.pdf
file_size: 2524611
relation: main_file
success: 1
file_date_updated: 2023-06-13T07:28:36Z
has_accepted_license: '1'
intvolume: ' 107'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review A
publication_identifier:
eissn:
- 2469-9934
issn:
- 2469-9926
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '14622'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Recursive greedy initialization of the quantum approximate optimization algorithm
with guaranteed improvement
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 107
year: '2023'
...
---
_id: '13277'
abstract:
- lang: eng
text: Recent experimental advances have inspired the development of theoretical
tools to describe the non-equilibrium dynamics of quantum systems. Among them
an exact representation of quantum spin systems in terms of classical stochastic
processes has been proposed. Here we provide first steps towards the extension
of this stochastic approach to bosonic systems by considering the one-dimensional
quantum quartic oscillator. We show how to exactly parameterize the time evolution
of this prototypical model via the dynamics of a set of classical variables. We
interpret these variables as stochastic processes, which allows us to propose
a novel way to numerically simulate the time evolution of the system. We benchmark
our findings by considering analytically solvable limits and providing alternative
derivations of known results.
acknowledgement: 'S. De Nicola acknowledges funding from the Institute of Science
and Technology Austria (ISTA), and from the European Union’s Horizon 2020 research
and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411.
S. De Nicola also acknowledges funding from the EPSRC Center for Doctoral Training
in Cross-Disciplinary Approaches to NonEquilibrium Systems (CANES) under Grant EP/L015854/1. '
article_number: '029'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gennaro
full_name: Tucci, Gennaro
last_name: Tucci
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: Sascha
full_name: Wald, Sascha
last_name: Wald
- first_name: Andrea
full_name: Gambassi, Andrea
last_name: Gambassi
citation:
ama: Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the
quantum quartic oscillator. SciPost Physics Core. 2023;6(2). doi:10.21468/scipostphyscore.6.2.029
apa: Tucci, G., De Nicola, S., Wald, S., & Gambassi, A. (2023). Stochastic representation
of the quantum quartic oscillator. SciPost Physics Core. SciPost Foundation.
https://doi.org/10.21468/scipostphyscore.6.2.029
chicago: Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic
Representation of the Quantum Quartic Oscillator.” SciPost Physics Core.
SciPost Foundation, 2023. https://doi.org/10.21468/scipostphyscore.6.2.029.
ieee: G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation
of the quantum quartic oscillator,” SciPost Physics Core, vol. 6, no. 2.
SciPost Foundation, 2023.
ista: Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation
of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029.
mla: Tucci, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.”
SciPost Physics Core, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:10.21468/scipostphyscore.6.2.029.
short: G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023).
date_created: 2023-07-24T10:47:46Z
date_published: 2023-04-14T00:00:00Z
date_updated: 2023-07-31T09:03:28Z
day: '14'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphyscore.6.2.029
ec_funded: 1
external_id:
arxiv:
- '2211.01923'
file:
- access_level: open_access
checksum: b472bc82108747eda5d52adf9e2ac7f3
content_type: application/pdf
creator: dernst
date_created: 2023-07-31T09:02:27Z
date_updated: 2023-07-31T09:02:27Z
file_id: '13329'
file_name: 2023_SciPostPhysCore_Tucci.pdf
file_size: 523236
relation: main_file
success: 1
file_date_updated: 2023-07-31T09:02:27Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '2'
keyword:
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics
- and Optics
- Nuclear and High Energy Physics
- Condensed Matter Physics
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics Core
publication_identifier:
issn:
- 2666-9366
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
status: public
title: Stochastic representation of the quantum quartic oscillator
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2023'
...
---
_id: '13963'
abstract:
- lang: eng
text: The many-body localization (MBL) proximity effect is an intriguing phenomenon
where a thermal bath localizes due to the interaction with a disordered system.
The interplay of thermal and nonergodic behavior in these systems gives rise to
a rich phase diagram, whose exploration is an active field of research. In this
paper, we study a bosonic Hubbard model featuring two particle species representing
the bath and the disordered system. Using state-of-the-art numerical techniques,
we investigate the dynamics of the model in different regimes, based on which
we obtain a tentative phase diagram as a function of coupling strength and bath
size. When the bath is composed of a single particle, we observe clear signatures
of a transition from an MBL proximity effect to a delocalized phase. Increasing
the bath size, however, its thermalizing effect becomes stronger and eventually
the whole system delocalizes in the range of moderate interaction strengths studied.
In this regime, we characterize particle transport, revealing diffusive behavior
of the originally localized bosons.
acknowledgement: "We thank A. A. Michailidis and A. Mirlin for insightful discussions.
P.B., M.L., and M.S. acknowledge support by the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
No. 850899). D.A. was\r\nsupported by the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation program (Grant Agreement
No. 864597) and by the Swiss National Science Foundation. P.B., M.L., and M.S. acknowledge
PRACE for awarding us access to Joliot-Curie at GENCI@CEA, France, where the TEBD
simulations were performed. The TEBD simulations were performed using the ITensor
library [60]."
article_number: '054201'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Ljubotina M, Abanin DA, Serbyn M. Many-body localization proximity
effect in a two-species bosonic Hubbard model. Physical Review B. 2023;108(5).
doi:10.1103/physrevb.108.054201
apa: Brighi, P., Ljubotina, M., Abanin, D. A., & Serbyn, M. (2023). Many-body
localization proximity effect in a two-species bosonic Hubbard model. Physical
Review B. American Physical Society. https://doi.org/10.1103/physrevb.108.054201
chicago: Brighi, Pietro, Marko Ljubotina, Dmitry A. Abanin, and Maksym Serbyn. “Many-Body
Localization Proximity Effect in a Two-Species Bosonic Hubbard Model.” Physical
Review B. American Physical Society, 2023. https://doi.org/10.1103/physrevb.108.054201.
ieee: P. Brighi, M. Ljubotina, D. A. Abanin, and M. Serbyn, “Many-body localization
proximity effect in a two-species bosonic Hubbard model,” Physical Review B,
vol. 108, no. 5. American Physical Society, 2023.
ista: Brighi P, Ljubotina M, Abanin DA, Serbyn M. 2023. Many-body localization proximity
effect in a two-species bosonic Hubbard model. Physical Review B. 108(5), 054201.
mla: Brighi, Pietro, et al. “Many-Body Localization Proximity Effect in a Two-Species
Bosonic Hubbard Model.” Physical Review B, vol. 108, no. 5, 054201, American
Physical Society, 2023, doi:10.1103/physrevb.108.054201.
short: P. Brighi, M. Ljubotina, D.A. Abanin, M. Serbyn, Physical Review B 108 (2023).
date_created: 2023-08-05T18:25:22Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2023-08-07T09:51:39Z
day: '01'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevb.108.054201
ec_funded: 1
external_id:
arxiv:
- '2303.16876'
file:
- access_level: open_access
checksum: f763000339b5fd543c14377109920690
content_type: application/pdf
creator: dernst
date_created: 2023-08-07T09:48:08Z
date_updated: 2023-08-07T09:48:08Z
file_id: '13981'
file_name: 2023_PhysRevB_Brighi.pdf
file_size: 3051398
relation: main_file
success: 1
file_date_updated: 2023-08-07T09:48:08Z
has_accepted_license: '1'
intvolume: ' 108'
issue: '5'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Many-body localization proximity effect in a two-species bosonic Hubbard model
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2023'
...
---
_id: '12732'
abstract:
- lang: eng
text: "Nonergodic systems, whose out-of-equilibrium dynamics fail to thermalize,
provide a fascinating research direction both for fundamental reasons and for
application in state of the art quantum devices.\r\nGoing beyond the description
of statistical mechanics, ergodicity breaking yields a new paradigm in quantum
many-body physics, introducing novel phases of matter with no counterpart at equilibrium.\r\nIn
this Thesis, we address different open questions in the field, focusing on disorder-induced
many-body localization (MBL) and on weak ergodicity breaking in kinetically constrained
models.\r\nIn particular, we contribute to the debate about transport in kinetically
constrained models, studying the effect of $U(1)$ conservation and inversion-symmetry
breaking in a family of quantum East models.\r\nUsing tensor network techniques,
we analyze the dynamics of large MBL systems beyond the limit of exact numerical
methods.\r\nIn this setting, we approach the debated topic of the coexistence
of localized and thermal eigenstates separated by energy thresholds known as many-body
mobility edges.\r\nInspired by recent experiments, our work further investigates
the localization of a small bath induced by the coupling to a large localized
chain, the so-called MBL proximity effect.\r\n\r\nIn the first Chapter, we introduce
a family of particle-conserving kinetically constrained models, inspired by the
quantum East model.\r\nThe system we study features strong inversion-symmetry
breaking, due to the nature of the correlated hopping.\r\nWe show that these models
host so-called quantum Hilbert space fragmentation, consisting of disconnected
subsectors in an entangled basis, and further provide an analytical description
of this phenomenon.\r\nWe further probe its effect on dynamics of simple product
states, showing revivals in fidelity and local observalbes.\r\nThe study of dynamics
within the largest subsector reveals an anomalous transient superdiffusive behavior
crossing over to slow logarithmic dynamics at later times.\r\nThis work suggests
that particle conserving constrained models with inversion-symmetry breaking realize
new universality classes of dynamics and invite their further theoretical and
experimental studies.\r\n\r\nNext, we use kinetic constraints and disorder to
design a model with many-body mobility edges in particle density.\r\nThis feature
allows to study the dynamics of localized and thermal states in large systems
beyond the limitations of previous studies.\r\nThe time-evolution shows typical
signatures of localization at small densities, replaced by thermal behavior at
larger densities.\r\nOur results provide evidence in favor of the stability of
many-body mobility edges, which was recently challenged by a theoretical argument.\r\nTo
support our findings, we probe the mechanism proposed as a cause of delocalization
in many-body localized systems with mobility edges suggesting its ineffectiveness
in the model studied.\r\n\r\nIn the last Chapter of this Thesis, we address the
topic of many-body localization proximity effect.\r\nWe study a model inspired
by recent experiments, featuring Anderson localized coupled to a small bath of
free hard-core bosons.\r\nThe interaction among the two particle species results
in non-trivial dynamics, which we probe using tensor network techniques.\r\nOur
simulations show convincing evidence of many-body localization proximity effect
when the bath is composed by a single free particle and interactions are strong.\r\nWe
furthter observe an anomalous entanglement dynamics, which we explain through
a phenomenological theory.\r\nFinally, we extract highly excited eigenstates of
large systems, providing supplementary evidence in favor of our findings."
acknowledged_ssus:
- _id: ScienComp
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
citation:
ama: Brighi P. Ergodicity breaking in disordered and kinetically constrained quantum
many-body systems. 2023. doi:10.15479/at:ista:12732
apa: Brighi, P. (2023). Ergodicity breaking in disordered and kinetically constrained
quantum many-body systems. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12732
chicago: Brighi, Pietro. “Ergodicity Breaking in Disordered and Kinetically Constrained
Quantum Many-Body Systems.” Institute of Science and Technology Austria, 2023.
https://doi.org/10.15479/at:ista:12732.
ieee: P. Brighi, “Ergodicity breaking in disordered and kinetically constrained
quantum many-body systems,” Institute of Science and Technology Austria, 2023.
ista: Brighi P. 2023. Ergodicity breaking in disordered and kinetically constrained
quantum many-body systems. Institute of Science and Technology Austria.
mla: Brighi, Pietro. Ergodicity Breaking in Disordered and Kinetically Constrained
Quantum Many-Body Systems. Institute of Science and Technology Austria, 2023,
doi:10.15479/at:ista:12732.
short: P. Brighi, Ergodicity Breaking in Disordered and Kinetically Constrained
Quantum Many-Body Systems, Institute of Science and Technology Austria, 2023.
date_created: 2023-03-17T13:30:48Z
date_published: 2023-03-21T00:00:00Z
date_updated: 2023-09-20T10:44:12Z
day: '21'
ddc:
- '530'
degree_awarded: PhD
department:
- _id: GradSch
- _id: MaSe
doi: 10.15479/at:ista:12732
ec_funded: 1
file:
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checksum: 5d2de651ef9449c1b8dc27148ca74777
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date_updated: 2023-03-23T16:42:56Z
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language:
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month: '03'
oa: 1
oa_version: None
page: '158'
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '11470'
relation: part_of_dissertation
status: public
- id: '8308'
relation: part_of_dissertation
status: public
- id: '11469'
relation: part_of_dissertation
status: public
- id: '12750'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
title: Ergodicity breaking in disordered and kinetically constrained quantum many-body
systems
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12790'
abstract:
- lang: eng
text: Motivated by the recent discoveries of superconductivity in bilayer and trilayer
graphene, we theoretically investigate superconductivity and other interaction-driven
phases in multilayer graphene stacks. To this end, we study the density of states
of multilayer graphene with up to four layers at the single-particle band structure
level in the presence of a transverse electric field. Among the considered structures,
tetralayer graphene with rhombohedral (ABCA) stacking reaches the highest density
of states. We study the phases that can arise in ABCA graphene by tuning the carrier
density and transverse electric field. For a broad region of the tuning parameters,
the presence of strong Coulomb repulsion leads to a spontaneous spin and valley
symmetry breaking via Stoner transitions. Using a model that incorporates the
spontaneous spin and valley polarization, we explore the Kohn-Luttinger mechanism
for superconductivity driven by repulsive Coulomb interactions. We find that the
strongest superconducting instability is in the p-wave channel, and occurs in
proximity to the onset of Stoner transitions. Interestingly, we find a range of
densities and transverse electric fields where superconductivity develops out
of a strongly corrugated, singly connected Fermi surface in each valley, leading
to a topologically nontrivial chiral p+ip superconducting state with an even number
of copropagating chiral Majorana edge modes. Our work establishes ABCA-stacked
tetralayer graphene as a promising platform for observing strongly correlated
physics and topological superconductivity.
acknowledgement: E.B. and T.H. were supported by the European Research Council (ERC)
under grant HQMAT (Grant Agreement No. 817799), by the Israel-USA Binational Science
Foundation (BSF), and by a Research grant from Irving and Cherna Moskowitz.
article_number: '104502'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Areg
full_name: Ghazaryan, Areg
id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
last_name: Ghazaryan
orcid: 0000-0001-9666-3543
- first_name: Tobias
full_name: Holder, Tobias
last_name: Holder
- first_name: Erez
full_name: Berg, Erez
last_name: Berg
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Ghazaryan A, Holder T, Berg E, Serbyn M. Multilayer graphenes as a platform
for interaction-driven physics and topological superconductivity. Physical
Review B. 2023;107(10). doi:10.1103/PhysRevB.107.104502
apa: Ghazaryan, A., Holder, T., Berg, E., & Serbyn, M. (2023). Multilayer graphenes
as a platform for interaction-driven physics and topological superconductivity.
Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.107.104502
chicago: Ghazaryan, Areg, Tobias Holder, Erez Berg, and Maksym Serbyn. “Multilayer
Graphenes as a Platform for Interaction-Driven Physics and Topological Superconductivity.”
Physical Review B. American Physical Society, 2023. https://doi.org/10.1103/PhysRevB.107.104502.
ieee: A. Ghazaryan, T. Holder, E. Berg, and M. Serbyn, “Multilayer graphenes as
a platform for interaction-driven physics and topological superconductivity,”
Physical Review B, vol. 107, no. 10. American Physical Society, 2023.
ista: Ghazaryan A, Holder T, Berg E, Serbyn M. 2023. Multilayer graphenes as a platform
for interaction-driven physics and topological superconductivity. Physical Review
B. 107(10), 104502.
mla: Ghazaryan, Areg, et al. “Multilayer Graphenes as a Platform for Interaction-Driven
Physics and Topological Superconductivity.” Physical Review B, vol. 107,
no. 10, 104502, American Physical Society, 2023, doi:10.1103/PhysRevB.107.104502.
short: A. Ghazaryan, T. Holder, E. Berg, M. Serbyn, Physical Review B 107 (2023).
date_created: 2023-04-02T22:01:10Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-08-01T13:59:29Z
day: '01'
department:
- _id: MaSe
- _id: MiLe
doi: 10.1103/PhysRevB.107.104502
external_id:
arxiv:
- '2211.02492'
isi:
- '000945526400003'
intvolume: ' 107'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2211.02492
month: '03'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- description: News on the ISTA website
relation: press_release
url: https://ista.ac.at/en/news/reaching-superconductivity-layer-by-layer/
scopus_import: '1'
status: public
title: Multilayer graphenes as a platform for interaction-driven physics and topological
superconductivity
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 107
year: '2023'
...
---
_id: '12839'
abstract:
- lang: eng
text: Universal nonequilibrium properties of isolated quantum systems are typically
probed by studying transport of conserved quantities, such as charge or spin,
while transport of energy has received considerably less attention. Here, we study
infinite-temperature energy transport in the kinetically constrained PXP model
describing Rydberg atom quantum simulators. Our state-of-the-art numerical simulations,
including exact diagonalization and time-evolving block decimation methods, reveal
the existence of two distinct transport regimes. At moderate times, the energy-energy
correlation function displays periodic oscillations due to families of eigenstates
forming different su(2) representations hidden within the spectrum. These families
of eigenstates generalize the quantum many-body scarred states found in previous
works and leave an imprint on the infinite-temperature energy transport. At later
times, we observe a long-lived superdiffusive transport regime that we attribute
to the proximity of a nearby integrable point. While generic strong deformations
of the PXP model indeed restore diffusive transport, adding a strong chemical
potential intriguingly gives rise to a well-converged superdiffusive exponent
z≈3/2. Our results suggest constrained models to be potential hosts of novel transport
regimes and call for developing an analytic understanding of their energy transport.
acknowledgement: "We would like to thank Alexios Michailidis, Sarang Gopalakrishnan,
and Achilleas Lazarides for useful comments. M. L. and M. S. acknowledge support
by the European Research Council under the European Union’s Horizon 2020 research
and innovation program (Grant\r\nAgreement No. 850899). J.-Y. D. and Z. P. acknowledge
support by EPSRC Grant No. EP/R513258/1 and the Leverhulme Trust Research Leadership
Grant No. RL2019-015. Statement of compliance with EPSRC policy framework on research
data: This publication is theoretical work that does not require supporting research
data. M. S., M. L., and Z. P. acknowledge support by the Erwin Schrödinger International
Institute for Mathematics and\r\nPhysics. M. L. and M. S. acknowledge PRACE for
awarding us access to Joliot-Curie at GENCI@CEA, France, where the TEBD simulations
were performed. The TEBD\r\nsimulations were performed using the ITENSOR library
[54]."
article_number: '011033'
article_processing_charge: No
article_type: original
author:
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
- first_name: Jean Yves
full_name: Desaules, Jean Yves
last_name: Desaules
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Zlatko
full_name: Papić, Zlatko
last_name: Papić
citation:
ama: Ljubotina M, Desaules JY, Serbyn M, Papić Z. Superdiffusive energy transport
in kinetically constrained models. Physical Review X. 2023;13(1). doi:10.1103/PhysRevX.13.011033
apa: Ljubotina, M., Desaules, J. Y., Serbyn, M., & Papić, Z. (2023). Superdiffusive
energy transport in kinetically constrained models. Physical Review X.
American Physical Society. https://doi.org/10.1103/PhysRevX.13.011033
chicago: Ljubotina, Marko, Jean Yves Desaules, Maksym Serbyn, and Zlatko Papić.
“Superdiffusive Energy Transport in Kinetically Constrained Models.” Physical
Review X. American Physical Society, 2023. https://doi.org/10.1103/PhysRevX.13.011033.
ieee: M. Ljubotina, J. Y. Desaules, M. Serbyn, and Z. Papić, “Superdiffusive energy
transport in kinetically constrained models,” Physical Review X, vol. 13,
no. 1. American Physical Society, 2023.
ista: Ljubotina M, Desaules JY, Serbyn M, Papić Z. 2023. Superdiffusive energy transport
in kinetically constrained models. Physical Review X. 13(1), 011033.
mla: Ljubotina, Marko, et al. “Superdiffusive Energy Transport in Kinetically Constrained
Models.” Physical Review X, vol. 13, no. 1, 011033, American Physical Society,
2023, doi:10.1103/PhysRevX.13.011033.
short: M. Ljubotina, J.Y. Desaules, M. Serbyn, Z. Papić, Physical Review X 13 (2023).
date_created: 2023-04-16T22:01:09Z
date_published: 2023-03-07T00:00:00Z
date_updated: 2023-08-01T14:11:28Z
day: '07'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/PhysRevX.13.011033
ec_funded: 1
external_id:
isi:
- '000957625700001'
file:
- access_level: open_access
checksum: ee060cea609af79bba7af74b1ce28078
content_type: application/pdf
creator: dernst
date_created: 2023-04-17T08:36:53Z
date_updated: 2023-04-17T08:36:53Z
file_id: '12845'
file_name: 2023_PhysReviewX_Ljubotina.pdf
file_size: 1958523
relation: main_file
success: 1
file_date_updated: 2023-04-17T08:36:53Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review X
publication_identifier:
eissn:
- 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superdiffusive energy transport in kinetically constrained models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13
year: '2023'
...
---
_id: '10769'
abstract:
- lang: eng
text: studiamos aspectos de Teoría Cuántica de Campos a densidad finita usando técnicas
y conceptos de información cuántica. Nos enfocamos en fermiones de Dirac masivos
con potencial químico en 1+1 dimensiones espacio-temporales. Usando la entropía
de entrelazamiento en un intervalo, construimos la función c entrópica que es
finita. Esta función c no es monótona, e incorpora el entrelazamiento de largo
alcance proveniente de la superficie de Fermi. Motivados por trabajos previos
de modelos en la red, calculamos numéricamente las entropías de Renyi y encontramos
oscilaciones de Friedel. Seguidamente, analizamos la información mutua como una
medida de correlación entre diferentes regiones. Usando una expansión de distancia
grande desarrollada por Cardy, argumentamos que la información mutua detecta las
correlaciones inducidas por la superficie de Fermi todavía al orden dominante
en la expansión. Finalmente, analizamos la entropía relativa y sus generalizaciones
de Renyi para distinguir estados con diferente carga. Encontramos que estados
en diferentes sectores de superselección dan origen a un comportamiento super-extensivo
en la entropía relativa.
acknowledgement: "Se agradece a Horacio Casini por distintas discusiones y comentarios
a lo largo del trabajo. LD cuenta con el apoyo de CNEA y UNCuyo, Inst. GT cuenta
con el apoyo de CONICET,\r\nANPCyT, CNEA, y UNCuyo, Inst. Balseiro. RM cuenta con
el apoyo de IST Austria. MS cuenta con el apoyode CONICET y UNCuyo, Inst. Balseiro.
También se agradece a la Asociación Argentina de Física por la posibilidad de presentar
este artículo en el marco de una Mención Especial por el Premio Luis Másperi 2020."
article_processing_charge: No
article_type: original
author:
- first_name: L.
full_name: Daguerre, L.
last_name: Daguerre
- first_name: G.
full_name: Torroba, G.
last_name: Torroba
- first_name: Raimel A
full_name: Medina Ramos, Raimel A
id: CE680B90-D85A-11E9-B684-C920E6697425
last_name: Medina Ramos
- first_name: M.
full_name: Solís, M.
last_name: Solís
citation:
ama: 'Daguerre L, Torroba G, Medina Ramos RA, Solís M. Non relativistic quantum
field theory: Dynamics and irreversibility. Anales de la Asociacion Fisica
Argentina. 2022;32(4):93-98. doi:10.31527/analesafa.2021.32.4.93'
apa: 'Daguerre, L., Torroba, G., Medina Ramos, R. A., & Solís, M. (2022). Non
relativistic quantum field theory: Dynamics and irreversibility. Anales de
la Asociacion Fisica Argentina. Asociación Física Argentina. https://doi.org/10.31527/analesafa.2021.32.4.93'
chicago: 'Daguerre, L., G. Torroba, Raimel A Medina Ramos, and M. Solís. “Non relativistic
quantum field theory: Dynamics and irreversibility.” Anales de la Asociacion
Fisica Argentina. Asociación Física Argentina, 2022. https://doi.org/10.31527/analesafa.2021.32.4.93.'
ieee: 'L. Daguerre, G. Torroba, R. A. Medina Ramos, and M. Solís, “Non relativistic
quantum field theory: Dynamics and irreversibility,” Anales de la Asociacion
Fisica Argentina, vol. 32, no. 4. Asociación Física Argentina, pp. 93–98,
2022.'
ista: 'Daguerre L, Torroba G, Medina Ramos RA, Solís M. 2022. Non relativistic quantum
field theory: Dynamics and irreversibility. Anales de la Asociacion Fisica Argentina.
32(4), 93–98.'
mla: 'Daguerre, L., et al. “Non relativistic quantum field theory: Dynamics and
irreversibility.” Anales de la Asociacion Fisica Argentina, vol. 32, no.
4, Asociación Física Argentina, 2022, pp. 93–98, doi:10.31527/analesafa.2021.32.4.93.'
short: L. Daguerre, G. Torroba, R.A. Medina Ramos, M. Solís, Anales de la Asociacion
Fisica Argentina 32 (2022) 93–98.
date_created: 2022-02-20T23:01:32Z
date_published: 2022-01-13T00:00:00Z
date_updated: 2022-02-21T09:36:01Z
day: '13'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.31527/analesafa.2021.32.4.93
file:
- access_level: open_access
checksum: ca66a3017205677c5b4d22b3bb74fb0b
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T09:32:44Z
date_updated: 2022-02-21T09:32:44Z
file_id: '10782'
file_name: 2022_AnalesAFA_Daguerre.pdf
file_size: 4505751
relation: main_file
success: 1
file_date_updated: 2022-02-21T09:32:44Z
has_accepted_license: '1'
intvolume: ' 32'
issue: '4'
language:
- iso: spa
month: '01'
oa: 1
oa_version: Published Version
page: 93-98
publication: Anales de la Asociacion Fisica Argentina
publication_identifier:
eissn:
- '18501168'
publication_status: published
publisher: Asociación Física Argentina
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Non relativistic quantum field theory: Dynamics and irreversibility'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2022'
...
---
_id: '10851'
abstract:
- lang: eng
text: Superconductor-semiconductor hybrid devices are at the heart of several proposed
approaches to quantum information processing, but their basic properties remain
to be understood. We embed a twodimensional Al-InAs hybrid system in a resonant
microwave circuit, probing the breakdown of superconductivity due to an applied
magnetic field. We find a fingerprint from the two-component nature of the hybrid
system, and quantitatively compare with a theory that includes the contribution
of intraband p±ip pairing in the InAs, as well as the emergence of Bogoliubov-Fermi
surfaces due to magnetic field. Separately resolving the Al and InAs contributions
allows us to determine the carrier density and mobility in the InAs.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: M. S. acknowledges useful discussions with A. Levchenko and P. A.
Lee, and E. Berg. This research was supported by the Scientific Service Units of
IST Austria through resources provided by the MIBA Machine Shop and the nanofabrication
facility. J. S. and A. G. acknowledge funding from the European Union’s Horizon
2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement
No. 754411.W. M. Hatefipour, W. M. Strickland and J. Shabani acknowledge funding
from Office of Naval Research Award No. N00014-21-1-2450.
article_number: '107701'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Duc T
full_name: Phan, Duc T
id: 29C8C0B4-F248-11E8-B48F-1D18A9856A87
last_name: Phan
- first_name: Jorden L
full_name: Senior, Jorden L
id: 5479D234-2D30-11EA-89CC-40953DDC885E
last_name: Senior
orcid: 0000-0002-0672-9295
- first_name: Areg
full_name: Ghazaryan, Areg
id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
last_name: Ghazaryan
orcid: 0000-0001-9666-3543
- first_name: M.
full_name: Hatefipour, M.
last_name: Hatefipour
- first_name: W. M.
full_name: Strickland, W. M.
last_name: Strickland
- first_name: J.
full_name: Shabani, J.
last_name: Shabani
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Andrew P
full_name: Higginbotham, Andrew P
id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
last_name: Higginbotham
orcid: 0000-0003-2607-2363
citation:
ama: Phan DT, Senior JL, Ghazaryan A, et al. Detecting induced p±ip pairing at the
Al-InAs interface with a quantum microwave circuit. Physical Review Letters.
2022;128(10). doi:10.1103/physrevlett.128.107701
apa: Phan, D. T., Senior, J. L., Ghazaryan, A., Hatefipour, M., Strickland, W. M.,
Shabani, J., … Higginbotham, A. P. (2022). Detecting induced p±ip pairing at the
Al-InAs interface with a quantum microwave circuit. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/physrevlett.128.107701
chicago: Phan, Duc T, Jorden L Senior, Areg Ghazaryan, M. Hatefipour, W. M. Strickland,
J. Shabani, Maksym Serbyn, and Andrew P Higginbotham. “Detecting Induced P±ip
Pairing at the Al-InAs Interface with a Quantum Microwave Circuit.” Physical
Review Letters. American Physical Society, 2022. https://doi.org/10.1103/physrevlett.128.107701.
ieee: D. T. Phan et al., “Detecting induced p±ip pairing at the Al-InAs interface
with a quantum microwave circuit,” Physical Review Letters, vol. 128, no.
10. American Physical Society, 2022.
ista: Phan DT, Senior JL, Ghazaryan A, Hatefipour M, Strickland WM, Shabani J, Serbyn
M, Higginbotham AP. 2022. Detecting induced p±ip pairing at the Al-InAs interface
with a quantum microwave circuit. Physical Review Letters. 128(10), 107701.
mla: Phan, Duc T., et al. “Detecting Induced P±ip Pairing at the Al-InAs Interface
with a Quantum Microwave Circuit.” Physical Review Letters, vol. 128, no.
10, 107701, American Physical Society, 2022, doi:10.1103/physrevlett.128.107701.
short: D.T. Phan, J.L. Senior, A. Ghazaryan, M. Hatefipour, W.M. Strickland, J.
Shabani, M. Serbyn, A.P. Higginbotham, Physical Review Letters 128 (2022).
date_created: 2022-03-17T11:37:47Z
date_published: 2022-03-11T00:00:00Z
date_updated: 2023-11-30T10:56:03Z
day: '11'
department:
- _id: MaSe
- _id: AnHi
doi: 10.1103/physrevlett.128.107701
ec_funded: 1
external_id:
arxiv:
- '2107.03695'
isi:
- '000771391100002'
pmid:
- ' 35333085'
intvolume: ' 128'
isi: 1
issue: '10'
keyword:
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2107.03695
month: '03'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- description: News on ISTA Website
relation: press_release
url: https://ista.ac.at/en/news/characterizing-super-semi-sandwiches-for-quantum-computing/
record:
- id: '10029'
relation: earlier_version
status: public
- id: '14547'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Detecting induced p±ip pairing at the Al-InAs interface with a quantum microwave
circuit
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 128
year: '2022'
...
---
_id: '10863'
abstract:
- lang: eng
text: 'Nonlinear optical responses are commonly used as a probe for studying the
electronic properties of materials. For topological materials, studies thus far
focused on photogalvanic electric currents, which are forbidden in centrosymmetric
materials because they require broken inversion symmetry. In this Letter, we propose
a class of symmetry-allowed responses for inversion-symmetric topological insulators
with two doubly degenerate bands. We consider a specific example of such a response,
the orbital current, and show that the sign of the response reflects the Z2 topological
index, i.e., the orbital current changes sign at the transition between trivial
and topological insulator phases. This is illustrated in two models of topological
insulators: the Bernevig-Hughes-Zhang model and the 1T′ phase of transition metal
dichalcogenides.'
acknowledgement: "We are grateful to Takahiro Morimoto and Zhanybek Alpichshev for
fruitful discussions. MD was supported by Austrian Agency for International Cooperation
in Education and Research (OeAD-GmbH) and by the John Seo Fellowship at MIT. HI
was supported by JSPS KAKENHI Grant Numbers JP19K14649 and JP18H03676, and by UTokyo
Global Activity Support Program for\r\nYoung Researchers."
article_number: L121407
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Margarita
full_name: Davydova, Margarita
last_name: Davydova
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Hiroaki
full_name: Ishizuka, Hiroaki
last_name: Ishizuka
citation:
ama: Davydova M, Serbyn M, Ishizuka H. Symmetry-allowed nonlinear orbital response
across the topological phase transition in centrosymmetric materials. Physical
Review B. 2022;105. doi:10.1103/PhysRevB.105.L121407
apa: Davydova, M., Serbyn, M., & Ishizuka, H. (2022). Symmetry-allowed nonlinear
orbital response across the topological phase transition in centrosymmetric materials.
Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.105.L121407
chicago: Davydova, Margarita, Maksym Serbyn, and Hiroaki Ishizuka. “Symmetry-Allowed
Nonlinear Orbital Response across the Topological Phase Transition in Centrosymmetric
Materials.” Physical Review B. American Physical Society, 2022. https://doi.org/10.1103/PhysRevB.105.L121407.
ieee: M. Davydova, M. Serbyn, and H. Ishizuka, “Symmetry-allowed nonlinear orbital
response across the topological phase transition in centrosymmetric materials,”
Physical Review B, vol. 105. American Physical Society, 2022.
ista: Davydova M, Serbyn M, Ishizuka H. 2022. Symmetry-allowed nonlinear orbital
response across the topological phase transition in centrosymmetric materials.
Physical Review B. 105, L121407.
mla: Davydova, Margarita, et al. “Symmetry-Allowed Nonlinear Orbital Response across
the Topological Phase Transition in Centrosymmetric Materials.” Physical Review
B, vol. 105, L121407, American Physical Society, 2022, doi:10.1103/PhysRevB.105.L121407.
short: M. Davydova, M. Serbyn, H. Ishizuka, Physical Review B 105 (2022).
date_created: 2022-03-18T10:20:46Z
date_published: 2022-03-17T00:00:00Z
date_updated: 2023-08-03T06:09:56Z
day: '17'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.105.L121407
external_id:
arxiv:
- '2101.08277'
isi:
- '000800752500001'
intvolume: ' 105'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2101.08277
month: '03'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
issn:
- 2469-9969
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symmetry-allowed nonlinear orbital response across the topological phase transition
in centrosymmetric materials
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '11337'
abstract:
- lang: eng
text: 'Nonanalytic points in the return probability of a quantum state as a function
of time, known as dynamical quantum phase transitions (DQPTs), have received great
attention in recent years, but the understanding of their mechanism is still incomplete.
In our recent work [Phys. Rev. Lett. 126, 040602 (2021)], we demonstrated that
one-dimensional DQPTs can be produced by two distinct mechanisms, namely semiclassical
precession and entanglement generation, leading to the definition of precession
(pDQPTs) and entanglement (eDQPTs) dynamical quantum phase transitions. In this
manuscript, we extend and investigate the notion of p- and eDQPTs in two-dimensional
systems by considering semi-infinite ladders of varying width. For square lattices,
we find that pDQPTs and eDQPTs persist and are characterized by similar phenomenology
as in 1D: pDQPTs are associated with a magnetization sign change and a wide entanglement
gap, while eDQPTs correspond to suppressed local observables and avoided crossings
in the entanglement spectrum. However, DQPTs show higher sensitivity to the ladder
width and other details, challenging the extrapolation to the thermodynamic limit
especially for eDQPTs. Moving to honeycomb lattices, we also demonstrate that
lattices with an odd number of nearest neighbors give rise to phenomenologies
beyond the one-dimensional classification.'
acknowledgement: "We acknowledge support by the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme (Grant Agreement
No. 850899).\r\nS.D.N. also acknowledges funding from the Institute of Science and
Technology (IST) Austria, and from the European Union’s Horizon 2020 Research and
Innovation Programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
article_number: '165149'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: De Nicola S, Michailidis A, Serbyn M. Entanglement and precession in two-dimensional
dynamical quantum phase transitions. Physical Review B. 2022;105. doi:10.1103/PhysRevB.105.165149
apa: De Nicola, S., Michailidis, A., & Serbyn, M. (2022). Entanglement and precession
in two-dimensional dynamical quantum phase transitions. Physical Review B.
American Physical Society. https://doi.org/10.1103/PhysRevB.105.165149
chicago: De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement
and Precession in Two-Dimensional Dynamical Quantum Phase Transitions.” Physical
Review B. American Physical Society, 2022. https://doi.org/10.1103/PhysRevB.105.165149.
ieee: S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement and precession
in two-dimensional dynamical quantum phase transitions,” Physical Review B,
vol. 105. American Physical Society, 2022.
ista: De Nicola S, Michailidis A, Serbyn M. 2022. Entanglement and precession in
two-dimensional dynamical quantum phase transitions. Physical Review B. 105, 165149.
mla: De Nicola, Stefano, et al. “Entanglement and Precession in Two-Dimensional
Dynamical Quantum Phase Transitions.” Physical Review B, vol. 105, 165149,
American Physical Society, 2022, doi:10.1103/PhysRevB.105.165149.
short: S. De Nicola, A. Michailidis, M. Serbyn, Physical Review B 105 (2022).
date_created: 2022-04-28T08:06:10Z
date_published: 2022-04-15T00:00:00Z
date_updated: 2023-08-03T06:33:33Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.105.165149
ec_funded: 1
external_id:
arxiv:
- '2112.11273'
isi:
- '000806812400004'
intvolume: ' 105'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2112.11273'
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Physical Review B
publication_identifier:
eisbn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Entanglement and precession in two-dimensional dynamical quantum phase transitions
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '11379'
abstract:
- lang: eng
text: Bernal-stacked multilayer graphene is a versatile platform to explore quantum
transport phenomena and interaction physics due to its exceptional tunability
via electrostatic gating. For instance, upon applying a perpendicular electric
field, its band structure exhibits several off-center Dirac points (so-called
Dirac gullies) in each valley. Here, the formation of Dirac gullies and the interaction-induced
breakdown of gully coherence is explored via magnetotransport measurements in
high-quality Bernal-stacked (ABA) trilayer graphene. At zero magnetic field, multiple
Lifshitz transitions indicating the formation of Dirac gullies are identified.
In the quantum Hall regime, the emergence of Dirac gullies is evident as an increase
in Landau level degeneracy. When tuning both electric and magnetic fields, electron–electron
interactions can be controllably enhanced until, beyond critical electric and
magnetic fields, the gully degeneracy is eventually lifted. The arising correlated
ground state is consistent with a previously predicted nematic phase that spontaneously
breaks the rotational gully symmetry.
acknowledgement: "We acknowledge funding from the Center for Nanoscience (CeNS) and
by the Deutsche\r\nForschungsgemeinschaft (DFG, German Research Foundation) under
Germany’s Excellence Strategy-EXC-2111-390814868 (MCQST). K.W. and T.T. acknowledge
support from the Elemental Strategy Initiative conducted by the MEXT, Japan (Grant
Number PMXP0112101001) and JSPS KAKENHI (Grant Numbers 19H05790 and JP20H00354)."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Felix
full_name: Winterer, Felix
last_name: Winterer
- first_name: Anna M.
full_name: Seiler, Anna M.
last_name: Seiler
- first_name: Areg
full_name: Ghazaryan, Areg
id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
last_name: Ghazaryan
orcid: 0000-0001-9666-3543
- first_name: Fabian R.
full_name: Geisenhof, Fabian R.
last_name: Geisenhof
- first_name: Kenji
full_name: Watanabe, Kenji
last_name: Watanabe
- first_name: Takashi
full_name: Taniguchi, Takashi
last_name: Taniguchi
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: R. Thomas
full_name: Weitz, R. Thomas
last_name: Weitz
citation:
ama: Winterer F, Seiler AM, Ghazaryan A, et al. Spontaneous gully-polarized quantum
hall states in ABA trilayer graphene. Nano Letters. 2022;22(8):3317-3322.
doi:10.1021/acs.nanolett.2c00435
apa: Winterer, F., Seiler, A. M., Ghazaryan, A., Geisenhof, F. R., Watanabe, K.,
Taniguchi, T., … Weitz, R. T. (2022). Spontaneous gully-polarized quantum hall
states in ABA trilayer graphene. Nano Letters. American Chemical Society.
https://doi.org/10.1021/acs.nanolett.2c00435
chicago: Winterer, Felix, Anna M. Seiler, Areg Ghazaryan, Fabian R. Geisenhof, Kenji
Watanabe, Takashi Taniguchi, Maksym Serbyn, and R. Thomas Weitz. “Spontaneous
Gully-Polarized Quantum Hall States in ABA Trilayer Graphene.” Nano Letters.
American Chemical Society, 2022. https://doi.org/10.1021/acs.nanolett.2c00435.
ieee: F. Winterer et al., “Spontaneous gully-polarized quantum hall states
in ABA trilayer graphene,” Nano Letters, vol. 22, no. 8. American Chemical
Society, pp. 3317–3322, 2022.
ista: Winterer F, Seiler AM, Ghazaryan A, Geisenhof FR, Watanabe K, Taniguchi T,
Serbyn M, Weitz RT. 2022. Spontaneous gully-polarized quantum hall states in ABA
trilayer graphene. Nano Letters. 22(8), 3317–3322.
mla: Winterer, Felix, et al. “Spontaneous Gully-Polarized Quantum Hall States in
ABA Trilayer Graphene.” Nano Letters, vol. 22, no. 8, American Chemical
Society, 2022, pp. 3317–22, doi:10.1021/acs.nanolett.2c00435.
short: F. Winterer, A.M. Seiler, A. Ghazaryan, F.R. Geisenhof, K. Watanabe, T. Taniguchi,
M. Serbyn, R.T. Weitz, Nano Letters 22 (2022) 3317–3322.
date_created: 2022-05-15T22:01:41Z
date_published: 2022-04-27T00:00:00Z
date_updated: 2023-08-03T07:12:45Z
day: '27'
department:
- _id: MaSe
doi: 10.1021/acs.nanolett.2c00435
external_id:
arxiv:
- '2109.00556'
isi:
- '000809056900019'
intvolume: ' 22'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2109.00556'
month: '04'
oa: 1
oa_version: Preprint
page: 3317-3322
publication: Nano Letters
publication_identifier:
eissn:
- '15306992'
issn:
- '15306984'
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spontaneous gully-polarized quantum hall states in ABA trilayer graphene
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 22
year: '2022'
...
---
_id: '11469'
abstract:
- lang: eng
text: Thermalizing and localized many-body quantum systems present two distinct
dynamical phases of matter. Recently the fate of a localized system coupled to
a thermalizing system viewed as a quantum bath received significant theoretical
and experimental attention. In this work, we study a mobile impurity, representing
a small quantum bath, that interacts locally with an Anderson insulator with a
finite density of localized particles. Using static Hartree approximation to obtain
an effective disorder strength, we formulate an analytic criterion for the perturbative
stability of the localization. Next, we use an approximate dynamical Hartree method
and the quasi-exact time-evolved block decimation (TEBD) algorithm to study the
dynamics of the system. We find that the dynamical Hartree approach which completely
ignores entanglement between the impurity and localized particles predicts the
delocalization of the system. In contrast, the full numerical simulation of the
unitary dynamics with TEBD suggests the stability of localization on numerically
accessible timescales. Finally, using an extension of the density matrix renormalization
group algorithm to excited states (DMRG-X), we approximate the highly excited
eigenstates of the system. We find that the impurity remains localized in the
eigenstates and entanglement is enhanced in a finite region around the position
of the impurity, confirming the dynamical predictions. Dynamics and the DMRG-X
results provide compelling evidence for the stability of localization.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We thank M. Ljubotina for insightful discussions. P. B., A. M. and
M. S. acknowledge support by the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899).
D. A. was supported by the Swiss National Science Foundation and by the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
program (Grant Agreement No. 864597). The development of parallel TEBD code was
supported by S. Elefante from the Scientific Computing (SciComp) that is part of
Scientific Service Units (SSU) of IST Austria. Some of the computations were performed
on the Baobab cluster of the University of Geneva.
article_number: '224208'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Kristina
full_name: Kirova, Kristina
id: 4aeda2ae-f847-11ec-98e0-c4a66fe174d4
last_name: Kirova
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Michailidis A, Kirova K, Abanin DA, Serbyn M. Localization of a mobile
impurity interacting with an Anderson insulator. Physical Review B. 2022;105(22).
doi:10.1103/physrevb.105.224208
apa: Brighi, P., Michailidis, A., Kirova, K., Abanin, D. A., & Serbyn, M. (2022).
Localization of a mobile impurity interacting with an Anderson insulator. Physical
Review B. American Physical Society. https://doi.org/10.1103/physrevb.105.224208
chicago: Brighi, Pietro, Alexios Michailidis, Kristina Kirova, Dmitry A. Abanin,
and Maksym Serbyn. “Localization of a Mobile Impurity Interacting with an Anderson
Insulator.” Physical Review B. American Physical Society, 2022. https://doi.org/10.1103/physrevb.105.224208.
ieee: P. Brighi, A. Michailidis, K. Kirova, D. A. Abanin, and M. Serbyn, “Localization
of a mobile impurity interacting with an Anderson insulator,” Physical Review
B, vol. 105, no. 22. American Physical Society, 2022.
ista: Brighi P, Michailidis A, Kirova K, Abanin DA, Serbyn M. 2022. Localization
of a mobile impurity interacting with an Anderson insulator. Physical Review B.
105(22), 224208.
mla: Brighi, Pietro, et al. “Localization of a Mobile Impurity Interacting with
an Anderson Insulator.” Physical Review B, vol. 105, no. 22, 224208, American
Physical Society, 2022, doi:10.1103/physrevb.105.224208.
short: P. Brighi, A. Michailidis, K. Kirova, D.A. Abanin, M. Serbyn, Physical Review
B 105 (2022).
date_created: 2022-06-29T20:19:51Z
date_published: 2022-06-27T00:00:00Z
date_updated: 2023-09-05T12:12:52Z
day: '27'
department:
- _id: MaSe
doi: 10.1103/physrevb.105.224208
ec_funded: 1
external_id:
arxiv:
- '2111.08603'
isi:
- '000823050000001'
intvolume: ' 105'
isi: 1
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2111.08603 Focus to learn more'
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
status: public
title: Localization of a mobile impurity interacting with an Anderson insulator
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 105
year: '2022'
...
---
_id: '11470'
abstract:
- lang: eng
text: Many-body localization (MBL) is an example of a dynamical phase of matter
that avoids thermalization. While the MBL phase is robust to weak local perturbations,
the fate of an MBL system coupled to a thermalizing quantum system that represents
a “heat bath” is an open question that is actively investigated theoretically
and experimentally. In this work, we consider the stability of an Anderson insulator
with a finite density of particles interacting with a single mobile impurity—a
small quantum bath. We give perturbative arguments that support the stability
of localization in the strong interaction regime. Large-scale tensor network simulations
of dynamics are employed to corroborate the presence of the localized phase and
give quantitative predictions in the thermodynamic limit. We develop a phenomenological
description of the dynamics in the strong interaction regime, and we demonstrate
that the impurity effectively turns the Anderson insulator into an MBL phase,
giving rise to nontrivial entanglement dynamics well captured by our phenomenology.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We acknowledge useful discussions with M. Ljubotina. P. B., A. M.,
and M. S. were supported by the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899).
D.A. was supported by the Swiss National Science Foundation and by the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
program (Grant Agreement No. 864597). The development of parallel TEBD code was
was supported by S. Elefante from the Scientific Computing (SciComp) that is part
of Scientific Service Units (SSU) of IST Austria. Some of the computations were
performed on the Baobab cluster of the University of Geneva.
article_number: L220203
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Alexios A.
full_name: Michailidis, Alexios A.
last_name: Michailidis
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Michailidis AA, Abanin DA, Serbyn M. Propagation of many-body localization
in an Anderson insulator. Physical Review B. 2022;105(22). doi:10.1103/physrevb.105.l220203
apa: Brighi, P., Michailidis, A. A., Abanin, D. A., & Serbyn, M. (2022). Propagation
of many-body localization in an Anderson insulator. Physical Review B.
American Physical Society. https://doi.org/10.1103/physrevb.105.l220203
chicago: Brighi, Pietro, Alexios A. Michailidis, Dmitry A. Abanin, and Maksym Serbyn.
“Propagation of Many-Body Localization in an Anderson Insulator.” Physical
Review B. American Physical Society, 2022. https://doi.org/10.1103/physrevb.105.l220203.
ieee: P. Brighi, A. A. Michailidis, D. A. Abanin, and M. Serbyn, “Propagation of
many-body localization in an Anderson insulator,” Physical Review B, vol.
105, no. 22. American Physical Society, 2022.
ista: Brighi P, Michailidis AA, Abanin DA, Serbyn M. 2022. Propagation of many-body
localization in an Anderson insulator. Physical Review B. 105(22), L220203.
mla: Brighi, Pietro, et al. “Propagation of Many-Body Localization in an Anderson
Insulator.” Physical Review B, vol. 105, no. 22, L220203, American Physical
Society, 2022, doi:10.1103/physrevb.105.l220203.
short: P. Brighi, A.A. Michailidis, D.A. Abanin, M. Serbyn, Physical Review B 105
(2022).
date_created: 2022-06-29T20:20:47Z
date_published: 2022-06-27T00:00:00Z
date_updated: 2023-08-03T07:23:52Z
day: '27'
department:
- _id: MaSe
doi: 10.1103/physrevb.105.l220203
ec_funded: 1
external_id:
arxiv:
- '2109.07332'
isi:
- '000823050000012'
intvolume: ' 105'
isi: 1
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2109.07332'
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
status: public
title: Propagation of many-body localization in an Anderson insulator
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '11471'
abstract:
- lang: eng
text: 'Variational quantum algorithms are promising algorithms for achieving quantum
advantage on nearterm devices. The quantum hardware is used to implement a variational
wave function and measure observables, whereas the classical computer is used
to store and update the variational parameters. The optimization landscape of
expressive variational ansätze is however dominated by large regions in parameter
space, known as barren plateaus, with vanishing gradients, which prevents efficient
optimization. In this work we propose a general algorithm to avoid barren plateaus
in the initialization and throughout the optimization. To this end we define a
notion of weak barren plateaus (WBPs) based on the entropies of local reduced
density matrices. The presence of WBPs can be efficiently quantified using recently
introduced shadow tomography of the quantum state with a classical computer. We
demonstrate that avoidance of WBPs suffices to ensure sizable gradients in the
initialization. In addition, we demonstrate that decreasing the gradient step
size, guided by the entropies allows WBPs to be avoided during the optimization
process. This paves the way for efficient barren plateau-free optimization on
near-term devices. '
acknowledgement: "We thank Marco Cerezo, Zoe Holmes, and Nicholas Hunter-Jones for
fruitful discussion and valuable feedback. We also acknowledge Adam Smith, Johannes
Jakob Meyer, and Victor V. Albert for comments on the paper. The simulations were
performed in the Julia programming\r\nlanguage [65] using the Yao module [66]. S.H.S.,
R.A.M., A.A.M. and M.S. acknowledge support by the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
No. 850899)."
article_number: '020365'
article_processing_charge: No
article_type: original
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author:
- first_name: Stefan
full_name: Sack, Stefan
id: dd622248-f6e0-11ea-865d-ce382a1c81a5
last_name: Sack
orcid: 0000-0001-5400-8508
- first_name: Raimel A
full_name: Medina Ramos, Raimel A
id: CE680B90-D85A-11E9-B684-C920E6697425
last_name: Medina Ramos
orcid: 0000-0002-5383-2869
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Richard
full_name: Kueng, Richard
last_name: Kueng
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. Avoiding barren
plateaus using classical shadows. PRX Quantum. 2022;3(2). doi:10.1103/prxquantum.3.020365
apa: Sack, S., Medina Ramos, R. A., Michailidis, A., Kueng, R., & Serbyn, M.
(2022). Avoiding barren plateaus using classical shadows. PRX Quantum.
American Physical Society. https://doi.org/10.1103/prxquantum.3.020365
chicago: Sack, Stefan, Raimel A Medina Ramos, Alexios Michailidis, Richard Kueng,
and Maksym Serbyn. “Avoiding Barren Plateaus Using Classical Shadows.” PRX
Quantum. American Physical Society, 2022. https://doi.org/10.1103/prxquantum.3.020365.
ieee: S. Sack, R. A. Medina Ramos, A. Michailidis, R. Kueng, and M. Serbyn, “Avoiding
barren plateaus using classical shadows,” PRX Quantum, vol. 3, no. 2. American
Physical Society, 2022.
ista: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. 2022. Avoiding
barren plateaus using classical shadows. PRX Quantum. 3(2), 020365.
mla: Sack, Stefan, et al. “Avoiding Barren Plateaus Using Classical Shadows.” PRX
Quantum, vol. 3, no. 2, 020365, American Physical Society, 2022, doi:10.1103/prxquantum.3.020365.
short: S. Sack, R.A. Medina Ramos, A. Michailidis, R. Kueng, M. Serbyn, PRX Quantum
3 (2022).
date_created: 2022-06-29T20:21:32Z
date_published: 2022-06-29T00:00:00Z
date_updated: 2023-12-13T14:47:24Z
day: '29'
ddc:
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department:
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doi: 10.1103/prxquantum.3.020365
ec_funded: 1
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title: Avoiding barren plateaus using classical shadows
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...