---
_id: '9961'
abstract:
- lang: eng
text: The notion of Thouless energy plays a central role in the theory of Anderson
localization. We investigate and compare the scaling of Thouless energy across
the many-body localization (MBL) transition in a Floquet model. We use a combination
of methods that are reliable on the ergodic side of the transition (e.g., spectral
form factor) and methods that work on the MBL side (e.g., typical matrix elements
of local operators) to obtain a complete picture of the Thouless energy behavior
across the transition. On the ergodic side, Thouless energy decreases slowly with
the system size, while at the transition it becomes comparable to the level spacing.
Different probes yield consistent estimates of Thouless energy in their overlapping
regime of applicability, giving the location of the transition point nearly free
of finite-size drift. This work establishes a connection between different definitions
of Thouless energy in a many-body setting and yields insights into the MBL transition
in Floquet systems.
acknowledgement: "We thank S. Garratt for useful comments on the manuscript. This
work was supported by the Swiss National Science Foundation (M. Sonner and D.A.A.)
and by the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation program (M. Serbyn, Grant Agreement No. 850899, and D.A.A.,
Grant Agreement No. 864597). Z.P. acknowledges support from EPSRC Grant No. EP/R020612/1
and from Leverhulme Trust Research Leadership Award No. RL-2019-015. The computations
were performed on the Baobab cluster of the University\r\nof Geneva."
article_number: L081112
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Michael
full_name: Sonner, Michael
last_name: Sonner
- 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
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
citation:
ama: Sonner M, Serbyn M, Papić Z, Abanin DA. Thouless energy across the many-body
localization transition in Floquet systems. Physical Review B. 2021;104(8).
doi:10.1103/PhysRevB.104.L081112
apa: Sonner, M., Serbyn, M., Papić, Z., & Abanin, D. A. (2021). Thouless energy
across the many-body localization transition in Floquet systems. Physical Review
B. American Physical Society. https://doi.org/10.1103/PhysRevB.104.L081112
chicago: Sonner, Michael, Maksym Serbyn, Zlatko Papić, and Dmitry A. Abanin. “Thouless
Energy across the Many-Body Localization Transition in Floquet Systems.” Physical
Review B. American Physical Society, 2021. https://doi.org/10.1103/PhysRevB.104.L081112.
ieee: M. Sonner, M. Serbyn, Z. Papić, and D. A. Abanin, “Thouless energy across
the many-body localization transition in Floquet systems,” Physical Review
B, vol. 104, no. 8. American Physical Society, 2021.
ista: Sonner M, Serbyn M, Papić Z, Abanin DA. 2021. Thouless energy across the many-body
localization transition in Floquet systems. Physical Review B. 104(8), L081112.
mla: Sonner, Michael, et al. “Thouless Energy across the Many-Body Localization
Transition in Floquet Systems.” Physical Review B, vol. 104, no. 8, L081112,
American Physical Society, 2021, doi:10.1103/PhysRevB.104.L081112.
short: M. Sonner, M. Serbyn, Z. Papić, D.A. Abanin, Physical Review B 104 (2021).
date_created: 2021-08-28T16:44:55Z
date_published: 2021-08-15T00:00:00Z
date_updated: 2023-08-11T10:57:09Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.104.L081112
ec_funded: 1
external_id:
arxiv:
- '2012.15676'
isi:
- '000689734500009'
intvolume: ' 104'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2012.15676
month: '08'
oa: 1
oa_version: Submitted 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'
status: public
title: Thouless energy across the many-body localization transition in Floquet systems
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 104
year: '2021'
...
---
_id: '9981'
abstract:
- lang: eng
text: "The numerical simulation of dynamical phenomena in interacting quantum systems
is a notoriously hard problem. Although a number of promising numerical methods
exist, they often have limited applicability due to the growth of entanglement
or the presence of the so-called sign problem. In this work, we develop an importance
sampling scheme for the simulation of quantum spin dynamics, building on a recent
approach mapping quantum spin systems to classical stochastic processes. The importance
sampling scheme is based on identifying the classical trajectory that yields the
largest contribution to a given quantum observable. An exact transformation is
then carried out to preferentially sample trajectories that are close to the dominant
one. We demonstrate that this approach is capable of reducing the temporal growth
of fluctuations in the stochastic quantities, thus extending the range of accessible
times and system sizes compared to direct sampling. We discuss advantages and
limitations of the proposed approach, outlining directions\r\nfor further developments."
article_number: '048'
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
citation:
ama: De Nicola S. Importance sampling scheme for the stochastic simulation of quantum
spin dynamics. SciPost Physics. 2021;11(3). doi:10.21468/scipostphys.11.3.048
apa: De Nicola, S. (2021). Importance sampling scheme for the stochastic simulation
of quantum spin dynamics. SciPost Physics. SciPost. https://doi.org/10.21468/scipostphys.11.3.048
chicago: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
of Quantum Spin Dynamics.” SciPost Physics. SciPost, 2021. https://doi.org/10.21468/scipostphys.11.3.048.
ieee: S. De Nicola, “Importance sampling scheme for the stochastic simulation of
quantum spin dynamics,” SciPost Physics, vol. 11, no. 3. SciPost, 2021.
ista: De Nicola S. 2021. Importance sampling scheme for the stochastic simulation
of quantum spin dynamics. SciPost Physics. 11(3), 048.
mla: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
of Quantum Spin Dynamics.” SciPost Physics, vol. 11, no. 3, 048, SciPost,
2021, doi:10.21468/scipostphys.11.3.048.
short: S. De Nicola, SciPost Physics 11 (2021).
date_created: 2021-09-02T11:49:47Z
date_published: 2021-09-02T00:00:00Z
date_updated: 2023-08-11T10:59:29Z
day: '02'
ddc:
- '519'
department:
- _id: MaSe
doi: 10.21468/scipostphys.11.3.048
ec_funded: 1
external_id:
arxiv:
- '2103.16468'
isi:
- '000692534200001'
file:
- access_level: open_access
checksum: e4ec69d893e31811efc6093cb6ea8eb7
content_type: application/pdf
creator: cchlebak
date_created: 2021-09-02T14:05:43Z
date_updated: 2021-09-02T14:05:43Z
file_id: '9984'
file_name: 2021_SciPostPhys_DeNicola.pdf
file_size: 373833
relation: main_file
success: 1
file_date_updated: 2021-09-02T14:05:43Z
has_accepted_license: '1'
intvolume: ' 11'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
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
publication_identifier:
eissn:
- 2666-9366
issn:
- 2542-4653
publication_status: published
publisher: SciPost
quality_controlled: '1'
status: public
title: Importance sampling scheme for the stochastic simulation of quantum spin dynamics
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: 11
year: '2021'
...
---
_id: '7971'
abstract:
- lang: eng
text: Multilayer graphene lattices allow for an additional tunability of the band
structure by the strong perpendicular electric field. In particular, the emergence
of the new multiple Dirac points in ABA stacked trilayer graphene subject to strong
transverse electric fields was proposed theoretically and confirmed experimentally.
These new Dirac points dubbed “gullies” emerge from the interplay between strong
electric field and trigonal warping. In this work, we first characterize the properties
of new emergent Dirac points and show that the electric field can be used to tune
the distance between gullies in the momentum space. We demonstrate that the band
structure has multiple Lifshitz transitions and higher-order singularity of “monkey
saddle” type. Following the characterization of the band structure, we consider
the spectrum of Landau levels and structure of their wave functions. In the limit
of strong electric fields when gullies are well separated in momentum space, they
give rise to triply degenerate Landau levels. In the second part of this work,
we investigate how degeneracy between three gully Landau levels is lifted in the
presence of interactions. Within the Hartree-Fock approximation we show that the
symmetry breaking state interpolates between the fully gully polarized state that
breaks C3 symmetry at high displacement field and the gully symmetric state when
the electric field is decreased. The discontinuous transition between these two
states is driven by enhanced intergully tunneling and exchange. We conclude by
outlining specific experimental predictions for the existence of such a symmetry-breaking
state.
article_number: '245411'
article_processing_charge: No
article_type: original
author:
- first_name: Peng
full_name: Rao, Peng
id: 47C23AC6-02D0-11E9-BD0E-99399A5D3DEB
last_name: Rao
orcid: 0000-0003-1250-0021
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Rao P, Serbyn M. Gully quantum Hall ferromagnetism in biased trilayer graphene.
Physical Review B. 2020;101(24). doi:10.1103/physrevb.101.245411
apa: Rao, P., & Serbyn, M. (2020). Gully quantum Hall ferromagnetism in biased
trilayer graphene. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.101.245411
chicago: Rao, Peng, and Maksym Serbyn. “Gully Quantum Hall Ferromagnetism in Biased
Trilayer Graphene.” Physical Review B. American Physical Society, 2020.
https://doi.org/10.1103/physrevb.101.245411.
ieee: P. Rao and M. Serbyn, “Gully quantum Hall ferromagnetism in biased trilayer
graphene,” Physical Review B, vol. 101, no. 24. American Physical Society,
2020.
ista: Rao P, Serbyn M. 2020. Gully quantum Hall ferromagnetism in biased trilayer
graphene. Physical Review B. 101(24), 245411.
mla: Rao, Peng, and Maksym Serbyn. “Gully Quantum Hall Ferromagnetism in Biased
Trilayer Graphene.” Physical Review B, vol. 101, no. 24, 245411, American
Physical Society, 2020, doi:10.1103/physrevb.101.245411.
short: P. Rao, M. Serbyn, Physical Review B 101 (2020).
date_created: 2020-06-17T14:52:06Z
date_published: 2020-06-15T00:00:00Z
date_updated: 2023-09-05T12:11:37Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/physrevb.101.245411
external_id:
isi:
- '000538715500010'
intvolume: ' 101'
isi: 1
issue: '24'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2002.05739
month: '06'
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: Gully quantum Hall ferromagnetism in biased trilayer graphene
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 101
year: '2020'
...
---
_id: '8011'
abstract:
- lang: eng
text: 'Relaxation to a thermal state is the inevitable fate of nonequilibrium interacting
quantum systems without special conservation laws. While thermalization in one-dimensional
systems can often be suppressed by integrability mechanisms, in two spatial dimensions
thermalization is expected to be far more effective due to the increased phase
space. In this work we propose a general framework for escaping or delaying the
emergence of the thermal state in two-dimensional arrays of Rydberg atoms via
the mechanism of quantum scars, i.e., initial states that fail to thermalize.
The suppression of thermalization is achieved in two complementary ways: by adding
local perturbations or by adjusting the driving Rabi frequency according to the
local connectivity of the lattice. We demonstrate that these mechanisms allow
us to realize robust quantum scars in various two-dimensional lattices, including
decorated lattices with nonconstant connectivity. In particular, we show that
a small decrease of the Rabi frequency at the corners of the lattice is crucial
for mitigating the strong boundary effects in two-dimensional systems. Our results
identify synchronization as an important tool for future experiments on two-dimensional
quantum scars.'
article_number: '022065'
article_processing_charge: No
article_type: original
author:
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
- first_name: C. J.
full_name: Turner, C. J.
last_name: Turner
- first_name: Z.
full_name: Papić, Z.
last_name: Papić
- first_name: D. A.
full_name: Abanin, D. 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: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Stabilizing two-dimensional
quantum scars by deformation and synchronization. Physical Review Research.
2020;2(2). doi:10.1103/physrevresearch.2.022065
apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., & Serbyn, M.
(2020). Stabilizing two-dimensional quantum scars by deformation and synchronization.
Physical Review Research. American Physical Society. https://doi.org/10.1103/physrevresearch.2.022065
chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym
Serbyn. “Stabilizing Two-Dimensional Quantum Scars by Deformation and Synchronization.”
Physical Review Research. American Physical Society, 2020. https://doi.org/10.1103/physrevresearch.2.022065.
ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Stabilizing
two-dimensional quantum scars by deformation and synchronization,” Physical
Review Research, vol. 2, no. 2. American Physical Society, 2020.
ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Stabilizing
two-dimensional quantum scars by deformation and synchronization. Physical Review
Research. 2(2), 022065.
mla: Michailidis, Alexios, et al. “Stabilizing Two-Dimensional Quantum Scars by
Deformation and Synchronization.” Physical Review Research, vol. 2, no.
2, 022065, American Physical Society, 2020, doi:10.1103/physrevresearch.2.022065.
short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review
Research 2 (2020).
date_created: 2020-06-23T12:00:19Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2021-01-12T08:16:30Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevresearch.2.022065
ec_funded: 1
file:
- access_level: open_access
checksum: e6959dc8220f14a008d1933858795e6d
content_type: application/pdf
creator: dernst
date_created: 2020-06-29T14:41:27Z
date_updated: 2020-07-14T12:48:08Z
file_id: '8050'
file_name: 2020_PhysicalReviewResearch_Michailidis.pdf
file_size: 2066011
relation: main_file
file_date_updated: 2020-07-14T12:48:08Z
has_accepted_license: '1'
intvolume: ' 2'
issue: '2'
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 Research
publication_identifier:
issn:
- 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Stabilizing two-dimensional quantum scars by deformation and synchronization
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: 2
year: '2020'
...
---
_id: '8199'
abstract:
- lang: eng
text: We investigate a mechanism to transiently stabilize topological phenomena
in long-lived quasi-steady states of isolated quantum many-body systems driven
at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady
states which is exponentially large in the inverse driving frequency. Within this
lifetime, the quasi-steady state is characterized by maximum entropy subject to
the constraint of fixed number of particles in the system's Floquet-Bloch bands.
In such a state, all the non-universal properties of these bands are washed out,
hence only the topological properties persist.
acknowledgement: "N.L., T.G. and E.B. acknowledge support from the European Research
Council (ERC) under\r\nthe European Union Horizon 2020 Research and Innovation Programme
(Grant Agreement\r\nNo. 639172). T.G. was in part supported by an Aly Kaufman Fellowship
at the Technion. T.G.\r\nacknowledges funding from the Institute of Science and
Technology (IST) Austria, and from\r\nthe European Union’s Horizon 2020 research
and innovation programme under the Marie\r\nSkłodowska-Curie Grant Agreement No.
754411. N.L. acknowledges support from the People Programme (Marie Curie Actions)
of the European Unions Seventh Framework 546 Programme (FP7/20072013), under REA
Grant Agreement No. 631696, and by the Israeli Center\r\nof Research Excellence
(I-CORE) Circle of Light funded by the Israel Science Foundation (Grant\r\nNo. 1802/12).
M.R. gratefully acknowledges the support of the European Research Council\r\n(ERC)
under the European Union Horizon 2020 Research and Innovation Programme (Grant\r\nAgreement
No. 678862). M.R. acknowledges the support of the Villum Foundation. M.R. and\r\nE.B.
acknowledge support from CRC 183 of the Deutsche Forschungsgemeinschaft"
article_number: '015'
article_processing_charge: No
article_type: original
author:
- first_name: Tobias
full_name: Gulden, Tobias
id: 1083E038-9F73-11E9-A4B5-532AE6697425
last_name: Gulden
orcid: 0000-0001-6814-7541
- first_name: Erez
full_name: Berg, Erez
last_name: Berg
- first_name: Mark Spencer
full_name: Rudner, Mark Spencer
last_name: Rudner
- first_name: Netanel
full_name: Lindner, Netanel
last_name: Lindner
citation:
ama: Gulden T, Berg E, Rudner MS, Lindner N. Exponentially long lifetime of universal
quasi-steady states in topological Floquet pumps. SciPost Physics. 2020;9.
doi:10.21468/scipostphys.9.1.015
apa: Gulden, T., Berg, E., Rudner, M. S., & Lindner, N. (2020). Exponentially
long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost
Physics. SciPost Foundation. https://doi.org/10.21468/scipostphys.9.1.015
chicago: Gulden, Tobias, Erez Berg, Mark Spencer Rudner, and Netanel Lindner. “Exponentially
Long Lifetime of Universal Quasi-Steady States in Topological Floquet Pumps.”
SciPost Physics. SciPost Foundation, 2020. https://doi.org/10.21468/scipostphys.9.1.015.
ieee: T. Gulden, E. Berg, M. S. Rudner, and N. Lindner, “Exponentially long lifetime
of universal quasi-steady states in topological Floquet pumps,” SciPost Physics,
vol. 9. SciPost Foundation, 2020.
ista: Gulden T, Berg E, Rudner MS, Lindner N. 2020. Exponentially long lifetime
of universal quasi-steady states in topological Floquet pumps. SciPost Physics.
9, 015.
mla: Gulden, Tobias, et al. “Exponentially Long Lifetime of Universal Quasi-Steady
States in Topological Floquet Pumps.” SciPost Physics, vol. 9, 015, SciPost
Foundation, 2020, doi:10.21468/scipostphys.9.1.015.
short: T. Gulden, E. Berg, M.S. Rudner, N. Lindner, SciPost Physics 9 (2020).
date_created: 2020-08-04T13:04:15Z
date_published: 2020-07-29T00:00:00Z
date_updated: 2023-08-22T08:28:24Z
day: '29'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphys.9.1.015
ec_funded: 1
external_id:
isi:
- '000557362300008'
file:
- access_level: open_access
content_type: application/pdf
creator: dernst
date_created: 2020-08-06T08:56:06Z
date_updated: 2020-08-06T08:56:06Z
file_id: '8202'
file_name: 2020_SciPostPhys_Gulden.pdf
file_size: 531137
relation: main_file
success: 1
file_date_updated: 2020-08-06T08:56:06Z
has_accepted_license: '1'
intvolume: ' 9'
isi: 1
language:
- iso: eng
month: '07'
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
publication_identifier:
issn:
- 2542-4653
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
scopus_import: '1'
status: public
title: Exponentially long lifetime of universal quasi-steady states in topological
Floquet pumps
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: 9
year: '2020'
...
---
_id: '8308'
abstract:
- lang: eng
text: 'Many-body localization provides a mechanism to avoid thermalization in isolated
interacting quantum systems. The breakdown of thermalization may be complete,
when all eigenstates in the many-body spectrum become localized, or partial, when
the so-called many-body mobility edge separates localized and delocalized parts
of the spectrum. Previously, De Roeck et al. [Phys. Rev. B 93, 014203 (2016)]
suggested a possible instability of the many-body mobility edge in energy density.
The local ergodic regions—so-called “bubbles”—resonantly spread throughout the
system, leading to delocalization. In order to study such instability mechanism,
in this work we design a model featuring many-body mobility edge in particle density:
the states at small particle density are localized, while increasing the density
of particles leads to delocalization. Using numerical simulations with matrix
product states, we demonstrate the stability of many-body localization with respect
to small bubbles in large dilute systems for experimentally relevant timescales.
In addition, we demonstrate that processes where the bubble spreads are favored
over processes that lead to resonant tunneling, suggesting a possible mechanism
behind the observed stability of many-body mobility edge. We conclude by proposing
experiments to probe particle density mobility edge in the Bose-Hubbard model.'
acknowledgement: 'Acknowledgments. We acknowledge useful discussions with W. De Roeck
and A. Michailidis. P.B. was supported by the European Union''s Horizon 2020 research
and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 665385.
D.A. was supported by the Swiss National Science Foundation. M.S. was supported
by European Research Council (ERC) under the European Union''s Horizon 2020 research
and innovation program (Grant Agreement No. 850899). This work benefited from visits
to KITP, supported by the National Science Foundation under Grant No. NSF PHY-1748958
and from the program “Thermalization, Many Body Localization and Hydrodynamics”
at International Centre for Theoretical Sciences (Code: ICTS/hydrodynamics2019/11).'
article_number: 060202(R)
article_processing_charge: No
article_type: original
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- 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, Abanin DA, Serbyn M. Stability of mobility edges in disordered interacting
systems. Physical Review B. 2020;102(6). doi:10.1103/physrevb.102.060202
apa: Brighi, P., Abanin, D. A., & Serbyn, M. (2020). Stability of mobility edges
in disordered interacting systems. Physical Review B. American Physical
Society. https://doi.org/10.1103/physrevb.102.060202
chicago: Brighi, Pietro, Dmitry A. Abanin, and Maksym Serbyn. “Stability of Mobility
Edges in Disordered Interacting Systems.” Physical Review B. American Physical
Society, 2020. https://doi.org/10.1103/physrevb.102.060202.
ieee: P. Brighi, D. A. Abanin, and M. Serbyn, “Stability of mobility edges in disordered
interacting systems,” Physical Review B, vol. 102, no. 6. American Physical
Society, 2020.
ista: Brighi P, Abanin DA, Serbyn M. 2020. Stability of mobility edges in disordered
interacting systems. Physical Review B. 102(6), 060202(R).
mla: Brighi, Pietro, et al. “Stability of Mobility Edges in Disordered Interacting
Systems.” Physical Review B, vol. 102, no. 6, 060202(R), American Physical
Society, 2020, doi:10.1103/physrevb.102.060202.
short: P. Brighi, D.A. Abanin, M. Serbyn, Physical Review B 102 (2020).
date_created: 2020-08-26T19:27:42Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-08-24T14:20:21Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevb.102.060202
ec_funded: 1
external_id:
isi:
- '000562628300001'
file:
- access_level: open_access
checksum: 716442fa7861323fcc80b93718ca009c
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:28:55Z
date_updated: 2020-08-26T19:28:55Z
file_id: '8309'
file_name: PhysRevB.102.060202.pdf
file_size: 488825
relation: main_file
success: 1
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checksum: be0abdc8f60fe065ea6dc92e08487122
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:29:00Z
date_updated: 2020-08-26T19:29:00Z
file_id: '8310'
file_name: Supplementary-mbme.pdf
file_size: 711405
relation: main_file
success: 1
file_date_updated: 2020-08-26T19:29:00Z
has_accepted_license: '1'
intvolume: ' 102'
isi: 1
issue: '6'
language:
- iso: eng
month: '08'
oa: 1
oa_version: None
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _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
scopus_import: '1'
status: public
title: Stability of mobility edges in disordered interacting systems
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 102
year: '2020'
...
---
_id: '7570'
abstract:
- lang: eng
text: The relaxation of few-body quantum systems can strongly depend on the initial
state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic
motion coexist with regular islands. In recent years, there has been much effort
to understand the process of thermalization in strongly interacting quantum systems
that often lack an obvious semiclassical limit. The time-dependent variational
principle (TDVP) allows one to systematically derive an effective classical (nonlinear)
dynamical system by projecting unitary many-body dynamics onto a manifold of weakly
entangled variational states. We demonstrate that such dynamical systems generally
possess mixed phase space. When TDVP errors are small, the mixed phase space leaves
a footprint on the exact dynamics of the quantum model. For example, when the
system is initialized in a state belonging to a stable periodic orbit or the surrounding
regular region, it exhibits persistent many-body quantum revivals. As a proof
of principle, we identify new types of “quantum many-body scars,” i.e., initial
states that lead to long-time oscillations in a model of interacting Rydberg atoms
in one and two dimensions. Intriguingly, the initial states that give rise to
most robust revivals are typically entangled states. On the other hand, even when
TDVP errors are large, as in the thermalizing tilted-field Ising model, initializing
the system in a regular region of phase space leads to a surprising slowdown of
thermalization. Our work establishes TDVP as a method for identifying interacting
quantum systems with anomalous dynamics in arbitrary dimensions. Moreover, the
mixed phase space classical variational equations allow one to find slowly thermalizing
initial conditions in interacting models. Our results shed light on a link between
classical and quantum chaos, pointing toward possible extensions of the classical
Kolmogorov-Arnold-Moser theorem to quantum systems.
article_number: '011055'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: C. J.
full_name: Turner, C. J.
last_name: Turner
- first_name: Z.
full_name: Papić, Z.
last_name: Papić
- first_name: D. A.
full_name: Abanin, D. 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: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Slow quantum thermalization
and many-body revivals from mixed phase space. Physical Review X. 2020;10(1).
doi:10.1103/physrevx.10.011055
apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., & Serbyn, M.
(2020). Slow quantum thermalization and many-body revivals from mixed phase space.
Physical Review X. American Physical Society. https://doi.org/10.1103/physrevx.10.011055
chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym
Serbyn. “Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space.”
Physical Review X. American Physical Society, 2020. https://doi.org/10.1103/physrevx.10.011055.
ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Slow
quantum thermalization and many-body revivals from mixed phase space,” Physical
Review X, vol. 10, no. 1. American Physical Society, 2020.
ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Slow quantum
thermalization and many-body revivals from mixed phase space. Physical Review
X. 10(1), 011055.
mla: Michailidis, Alexios, et al. “Slow Quantum Thermalization and Many-Body Revivals
from Mixed Phase Space.” Physical Review X, vol. 10, no. 1, 011055, American
Physical Society, 2020, doi:10.1103/physrevx.10.011055.
short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review
X 10 (2020).
date_created: 2020-03-08T18:02:01Z
date_published: 2020-03-04T00:00:00Z
date_updated: 2023-08-18T07:01:07Z
day: '04'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevx.10.011055
external_id:
arxiv:
- '1905.08564'
isi:
- '000517969300001'
file:
- access_level: open_access
checksum: 4b3f2c13873d35230173c73d0e11c408
content_type: application/pdf
creator: dernst
date_created: 2020-03-12T12:13:07Z
date_updated: 2020-07-14T12:48:00Z
file_id: '7581'
file_name: 2020_PhysicalReviewX_Michailidis.pdf
file_size: 17828638
relation: main_file
file_date_updated: 2020-07-14T12:48:00Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
issn:
- 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/classical-physics-helps-predict-fate-of-interacting-quantum-systems/
scopus_import: '1'
status: public
title: Slow quantum thermalization and many-body revivals from mixed phase space
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: 10
year: '2020'
...
---
_id: '7638'
abstract:
- lang: eng
text: Following on from our recent work, we investigate a stochastic approach to
non-equilibrium quantum spin systems. We show how the method can be applied to
a variety of physical observables and for different initial conditions. We provide
exact formulae of broad applicability for the time-dependence of expectation values
and correlation functions following a quantum quench in terms of averages over
classical stochastic processes. We further explore the behavior of the classical
stochastic variables in the presence of dynamical quantum phase transitions, including
results for their distributions and correlation functions. We provide details
on the numerical solution of the associated stochastic differential equations,
and examine the growth of fluctuations in the classical description. We discuss
the strengths and limitations of the current implementation of the stochastic
approach and the potential for further development.
article_number: '013106'
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: B.
full_name: Doyon, B.
last_name: Doyon
- first_name: M. J.
full_name: Bhaseen, M. J.
last_name: Bhaseen
citation:
ama: 'De Nicola S, Doyon B, Bhaseen MJ. Non-equilibrium quantum spin dynamics from
classical stochastic processes. Journal of Statistical Mechanics: Theory and
Experiment. 2020;2020(1). doi:10.1088/1742-5468/ab6093'
apa: 'De Nicola, S., Doyon, B., & Bhaseen, M. J. (2020). Non-equilibrium quantum
spin dynamics from classical stochastic processes. Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab6093'
chicago: 'De Nicola, Stefano, B. Doyon, and M. J. Bhaseen. “Non-Equilibrium Quantum
Spin Dynamics from Classical Stochastic Processes.” Journal of Statistical
Mechanics: Theory and Experiment. IOP Publishing, 2020. https://doi.org/10.1088/1742-5468/ab6093.'
ieee: 'S. De Nicola, B. Doyon, and M. J. Bhaseen, “Non-equilibrium quantum spin
dynamics from classical stochastic processes,” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2020, no. 1. IOP Publishing, 2020.'
ista: 'De Nicola S, Doyon B, Bhaseen MJ. 2020. Non-equilibrium quantum spin dynamics
from classical stochastic processes. Journal of Statistical Mechanics: Theory
and Experiment. 2020(1), 013106.'
mla: 'De Nicola, Stefano, et al. “Non-Equilibrium Quantum Spin Dynamics from Classical
Stochastic Processes.” Journal of Statistical Mechanics: Theory and Experiment,
vol. 2020, no. 1, 013106, IOP Publishing, 2020, doi:10.1088/1742-5468/ab6093.'
short: 'S. De Nicola, B. Doyon, M.J. Bhaseen, Journal of Statistical Mechanics:
Theory and Experiment 2020 (2020).'
date_created: 2020-04-05T22:00:50Z
date_published: 2020-01-22T00:00:00Z
date_updated: 2023-08-18T10:27:15Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1088/1742-5468/ab6093
ec_funded: 1
external_id:
arxiv:
- '1909.13142'
isi:
- '000520187500001'
file:
- access_level: open_access
checksum: 4030e683c15d30b7b4794ec7dc1b6537
content_type: application/pdf
creator: dernst
date_created: 2020-04-06T13:15:49Z
date_updated: 2020-07-14T12:48:01Z
file_id: '7648'
file_name: 2020_JournStatisticalMech_DeNicola.pdf
file_size: 3159026
relation: main_file
file_date_updated: 2020-07-14T12:48:01Z
has_accepted_license: '1'
intvolume: ' 2020'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
eissn:
- '17425468'
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Non-equilibrium quantum spin dynamics from classical stochastic processes
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...
---
_id: '7013'
abstract:
- lang: eng
text: Chains of superconducting circuit devices provide a natural platform for studies
of synthetic bosonic quantum matter. Motivated by the recent experimental progress
in realizing disordered and interacting chains of superconducting transmon devices,
we study the bosonic many-body localization phase transition using the methods
of exact diagonalization as well as matrix product state dynamics. We estimate
the location of transition separating the ergodic and the many-body localized
phases as a function of the disorder strength and the many-body on-site interaction
strength. The main difference between the bosonic model realized by superconducting
circuits and similar fermionic model is that the effect of the on-site interaction
is stronger due to the possibility of multiple excitations occupying the same
site. The phase transition is found to be robust upon including longer-range hopping
and interaction terms present in the experiments. Furthermore, we calculate experimentally
relevant local observables and show that their temporal fluctuations can be used
to distinguish between the dynamics of Anderson insulator, many-body localization,
and delocalized phases. While we consider unitary dynamics, neglecting the effects
of dissipation, decoherence, and measurement back action, the timescales on which
the dynamics is unitary are sufficient for observation of characteristic dynamics
in the many-body localized phase. Moreover, the experimentally available disorder
strength and interactions allow for tuning the many-body localization phase transition,
thus making the arrays of superconducting circuit devices a promising platform
for exploring localization physics and phase transition.
article_number: '134504'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tuure
full_name: Orell, Tuure
last_name: Orell
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Matti
full_name: Silveri, Matti
last_name: Silveri
citation:
ama: Orell T, Michailidis A, Serbyn M, Silveri M. Probing the many-body localization
phase transition with superconducting circuits. Physical Review B. 2019;100(13).
doi:10.1103/physrevb.100.134504
apa: Orell, T., Michailidis, A., Serbyn, M., & Silveri, M. (2019). Probing the
many-body localization phase transition with superconducting circuits. Physical
Review B. American Physical Society. https://doi.org/10.1103/physrevb.100.134504
chicago: Orell, Tuure, Alexios Michailidis, Maksym Serbyn, and Matti Silveri. “Probing
the Many-Body Localization Phase Transition with Superconducting Circuits.” Physical
Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.134504.
ieee: T. Orell, A. Michailidis, M. Serbyn, and M. Silveri, “Probing the many-body
localization phase transition with superconducting circuits,” Physical Review
B, vol. 100, no. 13. American Physical Society, 2019.
ista: Orell T, Michailidis A, Serbyn M, Silveri M. 2019. Probing the many-body localization
phase transition with superconducting circuits. Physical Review B. 100(13), 134504.
mla: Orell, Tuure, et al. “Probing the Many-Body Localization Phase Transition with
Superconducting Circuits.” Physical Review B, vol. 100, no. 13, 134504,
American Physical Society, 2019, doi:10.1103/physrevb.100.134504.
short: T. Orell, A. Michailidis, M. Serbyn, M. Silveri, Physical Review B 100 (2019).
date_created: 2019-11-13T08:25:48Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2024-02-28T13:13:13Z
day: '01'
department:
- _id: MaSe
doi: 10.1103/physrevb.100.134504
external_id:
arxiv:
- '1907.04043'
isi:
- '000489036500004'
intvolume: ' 100'
isi: 1
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1907.04043
month: '10'
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: Probing the many-body localization phase transition with superconducting circuits
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 100
year: '2019'
...
---
_id: '7200'
abstract:
- lang: eng
text: Recent scanning tunneling microscopy experiments in NbN thin disordered superconducting
films found an emergent inhomogeneity at the scale of tens of nanometers. This
inhomogeneity is mirrored by an apparent dimensional crossover in the paraconductivity
measured in transport above the superconducting critical temperature Tc. This
behavior was interpreted in terms of an anomalous diffusion of fluctuating Cooper
pairs that display a quasiconfinement (i.e., a slowing down of their diffusive
dynamics) on length scales shorter than the inhomogeneity identified by tunneling
experiments. Here, we assume this anomalous diffusive behavior of fluctuating
Cooper pairs and calculate the effect of these fluctuations on the electron density
of states above Tc. We find that the density of states is substantially suppressed
up to temperatures well above Tc. This behavior, which is closely reminiscent
of a pseudogap, only arises from the anomalous diffusion of fluctuating Cooper
pairs in the absence of stable preformed pairs, setting the stage for an intermediate
behavior between the two common paradigms in the superconducting-insulator transition,
namely, the localization of Cooper pairs (the so-called bosonic scenario) and
the breaking of Cooper pairs into unpaired electrons due to strong disorder (the
so-called fermionic scenario).
article_number: '174518'
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: Marco
full_name: Grilli, Marco
last_name: Grilli
- first_name: Brigitte
full_name: Leridon, Brigitte
last_name: Leridon
- first_name: Sergio
full_name: Caprara, Sergio
last_name: Caprara
citation:
ama: Brighi P, Grilli M, Leridon B, Caprara S. Effect of anomalous diffusion of
fluctuating Cooper pairs on the density of states of superconducting NbN thin
films. Physical Review B. 2019;100(17). doi:10.1103/PhysRevB.100.174518
apa: Brighi, P., Grilli, M., Leridon, B., & Caprara, S. (2019). Effect of anomalous
diffusion of fluctuating Cooper pairs on the density of states of superconducting
NbN thin films. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.100.174518
chicago: Brighi, Pietro, Marco Grilli, Brigitte Leridon, and Sergio Caprara. “Effect
of Anomalous Diffusion of Fluctuating Cooper Pairs on the Density of States of
Superconducting NbN Thin Films.” Physical Review B. American Physical Society,
2019. https://doi.org/10.1103/PhysRevB.100.174518.
ieee: P. Brighi, M. Grilli, B. Leridon, and S. Caprara, “Effect of anomalous diffusion
of fluctuating Cooper pairs on the density of states of superconducting NbN thin
films,” Physical Review B, vol. 100, no. 17. American Physical Society,
2019.
ista: Brighi P, Grilli M, Leridon B, Caprara S. 2019. Effect of anomalous diffusion
of fluctuating Cooper pairs on the density of states of superconducting NbN thin
films. Physical Review B. 100(17), 174518.
mla: Brighi, Pietro, et al. “Effect of Anomalous Diffusion of Fluctuating Cooper
Pairs on the Density of States of Superconducting NbN Thin Films.” Physical
Review B, vol. 100, no. 17, 174518, American Physical Society, 2019, doi:10.1103/PhysRevB.100.174518.
short: P. Brighi, M. Grilli, B. Leridon, S. Caprara, Physical Review B 100 (2019).
date_created: 2019-12-22T23:00:41Z
date_published: 2019-11-25T00:00:00Z
date_updated: 2024-02-28T13:14:08Z
day: '25'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.100.174518
external_id:
arxiv:
- '1907.13579'
isi:
- '000498845700006'
intvolume: ' 100'
isi: 1
issue: '17'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1907.13579
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: Effect of anomalous diffusion of fluctuating Cooper pairs on the density of
states of superconducting NbN thin films
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 100
year: '2019'
...
---
_id: '5906'
abstract:
- lang: eng
text: We introduce a simple, exactly solvable strong-randomness renormalization
group (RG) model for the many-body localization (MBL) transition in one dimension.
Our approach relies on a family of RG flows parametrized by the asymmetry between
thermal and localized phases. We identify the physical MBL transition in the limit
of maximal asymmetry, reflecting the instability of MBL against rare thermal inclusions.
We find a critical point that is localized with power-law distributed thermal
inclusions. The typical size of critical inclusions remains finite at the transition,
while the average size is logarithmically diverging. We propose a two-parameter
scaling theory for the many-body localization transition that falls into the Kosterlitz-Thouless
universality class, with the MBL phase corresponding to a stable line of fixed
points with multifractal behavior.
article_number: '040601'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Anna
full_name: Goremykina, Anna
last_name: Goremykina
- first_name: Romain
full_name: Vasseur, Romain
last_name: Vasseur
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Goremykina A, Vasseur R, Serbyn M. Analytically solvable renormalization group
for the many-body localization transition. Physical Review Letters. 2019;122(4).
doi:10.1103/physrevlett.122.040601
apa: Goremykina, A., Vasseur, R., & Serbyn, M. (2019). Analytically solvable
renormalization group for the many-body localization transition. Physical Review
Letters. American Physical Society. https://doi.org/10.1103/physrevlett.122.040601
chicago: Goremykina, Anna, Romain Vasseur, and Maksym Serbyn. “Analytically Solvable
Renormalization Group for the Many-Body Localization Transition.” Physical
Review Letters. American Physical Society, 2019. https://doi.org/10.1103/physrevlett.122.040601.
ieee: A. Goremykina, R. Vasseur, and M. Serbyn, “Analytically solvable renormalization
group for the many-body localization transition,” Physical Review Letters,
vol. 122, no. 4. American Physical Society, 2019.
ista: Goremykina A, Vasseur R, Serbyn M. 2019. Analytically solvable renormalization
group for the many-body localization transition. Physical Review Letters. 122(4),
040601.
mla: Goremykina, Anna, et al. “Analytically Solvable Renormalization Group for the
Many-Body Localization Transition.” Physical Review Letters, vol. 122,
no. 4, 040601, American Physical Society, 2019, doi:10.1103/physrevlett.122.040601.
short: A. Goremykina, R. Vasseur, M. Serbyn, Physical Review Letters 122 (2019).
date_created: 2019-02-01T08:22:28Z
date_published: 2019-02-01T00:00:00Z
date_updated: 2024-02-28T13:13:38Z
day: '01'
department:
- _id: MaSe
doi: 10.1103/physrevlett.122.040601
external_id:
arxiv:
- '1807.04285'
isi:
- '000456783700001'
intvolume: ' 122'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1807.04285
month: '02'
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: Analytically solvable renormalization group for the many-body localization
transition
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 122
year: '2019'
...
---
_id: '6174'
abstract:
- lang: eng
text: We propose a scaling theory for the many-body localization (MBL) phase transition
in one dimension, building on the idea that it proceeds via a “quantum avalanche.”
We argue that the critical properties can be captured at a coarse-grained level
by a Kosterlitz-Thouless (KT) renormalization group (RG) flow. On phenomenological
grounds, we identify the scaling variables as the density of thermal regions and
the length scale that controls the decay of typical matrix elements. Within this
KT picture, the MBL phase is a line of fixed points that terminates at the delocalization
transition. We discuss two possible scenarios distinguished by the distribution
of rare, fractal thermal inclusions within the MBL phase. In the first scenario,
these regions have a stretched exponential distribution in the MBL phase. In the
second scenario, the near-critical MBL phase hosts rare thermal regions that are
power-law-distributed in size. This points to the existence of a second transition
within the MBL phase, at which these power laws change to the stretched exponential
form expected at strong disorder. We numerically simulate two different phenomenological
RGs previously proposed to describe the MBL transition. Both RGs display a universal
power-law length distribution of thermal regions at the transition with a critical
exponent αc=2, and continuously varying exponents in the MBL phase consistent
with the KT picture.
article_number: '094205'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Philipp T.
full_name: Dumitrescu, Philipp T.
last_name: Dumitrescu
- first_name: Anna
full_name: Goremykina, Anna
last_name: Goremykina
- first_name: Siddharth A.
full_name: Parameswaran, Siddharth A.
last_name: Parameswaran
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Romain
full_name: Vasseur, Romain
last_name: Vasseur
citation:
ama: Dumitrescu PT, Goremykina A, Parameswaran SA, Serbyn M, Vasseur R. Kosterlitz-Thouless
scaling at many-body localization phase transitions. Physical Review B.
2019;99(9). doi:10.1103/physrevb.99.094205
apa: Dumitrescu, P. T., Goremykina, A., Parameswaran, S. A., Serbyn, M., & Vasseur,
R. (2019). Kosterlitz-Thouless scaling at many-body localization phase transitions.
Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.99.094205
chicago: Dumitrescu, Philipp T., Anna Goremykina, Siddharth A. Parameswaran, Maksym
Serbyn, and Romain Vasseur. “Kosterlitz-Thouless Scaling at Many-Body Localization
Phase Transitions.” Physical Review B. American Physical Society, 2019.
https://doi.org/10.1103/physrevb.99.094205.
ieee: P. T. Dumitrescu, A. Goremykina, S. A. Parameswaran, M. Serbyn, and R. Vasseur,
“Kosterlitz-Thouless scaling at many-body localization phase transitions,” Physical
Review B, vol. 99, no. 9. American Physical Society, 2019.
ista: Dumitrescu PT, Goremykina A, Parameswaran SA, Serbyn M, Vasseur R. 2019. Kosterlitz-Thouless
scaling at many-body localization phase transitions. Physical Review B. 99(9),
094205.
mla: Dumitrescu, Philipp T., et al. “Kosterlitz-Thouless Scaling at Many-Body Localization
Phase Transitions.” Physical Review B, vol. 99, no. 9, 094205, American
Physical Society, 2019, doi:10.1103/physrevb.99.094205.
short: P.T. Dumitrescu, A. Goremykina, S.A. Parameswaran, M. Serbyn, R. Vasseur,
Physical Review B 99 (2019).
date_created: 2019-03-25T07:32:08Z
date_published: 2019-03-22T00:00:00Z
date_updated: 2023-09-05T12:11:13Z
day: '22'
department:
- _id: MaSe
doi: 10.1103/physrevb.99.094205
external_id:
arxiv:
- '1811.03103'
isi:
- '000462883200001'
intvolume: ' 99'
isi: 1
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1811.03103
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'
scopus_import: '1'
status: public
title: Kosterlitz-Thouless scaling at many-body localization phase transitions
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 99
year: '2019'
...
---
_id: '6477'
abstract:
- lang: eng
text: 'Thermalizing quantum systems are conventionallydescribed by statistical mechanics
at equilib-rium. However, not all systems fall into this category, with many-body
localization providinga generic mechanism for thermalization to fail in strongly
disordered systems. Many-bodylocalized (MBL) systems remain perfect insulators
at nonzero temperature, which do notthermalize and therefore cannot be describedusing
statistical mechanics. This Colloquiumreviews recent theoretical and experimental
advances in studies of MBL systems, focusing onthe new perspective provided by
entanglement and nonequilibrium experimental probes suchas quantum quenches. Theoretically,
MBL systems exhibit a new kind of robust integrability: anextensive set of quasilocal
integrals of motion emerges, which provides an intuitive explanationof the breakdown
of thermalization. A description based on quasilocal integrals of motion isused
to predict dynamical properties of MBL systems, such as the spreading of quantumentanglement,
the behavior of local observables, and the response to external dissipativeprocesses.
Furthermore, MBL systems can exhibit eigenstate transitions and quantum ordersforbidden
in thermodynamic equilibrium. An outline isgiven of the current theoretical under-standing
of the quantum-to-classical transitionbetween many-body localized and ergodic
phasesand anomalous transport in the vicinity of that transition. Experimentally,
synthetic quantumsystems, which are well isolated from an external thermal reservoir,
provide natural platforms forrealizing the MBL phase. Recent experiments with
ultracold atoms, trapped ions, superconductingqubits, and quantum materials, in
which different signatures of many-body localization have beenobserved, are reviewed.
This Colloquium concludes by listing outstanding challenges andpromising future
research directions.'
article_number: '021001'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Ehud
full_name: Altman, Ehud
last_name: Altman
- first_name: Immanuel
full_name: Bloch, Immanuel
last_name: Bloch
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: 'Abanin DA, Altman E, Bloch I, Serbyn M. Colloquium: Many-body localization,
thermalization, and entanglement. Reviews of Modern Physics. 2019;91(2).
doi:10.1103/revmodphys.91.021001'
apa: 'Abanin, D. A., Altman, E., Bloch, I., & Serbyn, M. (2019). Colloquium:
Many-body localization, thermalization, and entanglement. Reviews of Modern
Physics. American Physical Society. https://doi.org/10.1103/revmodphys.91.021001'
chicago: 'Abanin, Dmitry A., Ehud Altman, Immanuel Bloch, and Maksym Serbyn. “Colloquium:
Many-Body Localization, Thermalization, and Entanglement.” Reviews of Modern
Physics. American Physical Society, 2019. https://doi.org/10.1103/revmodphys.91.021001.'
ieee: 'D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, “Colloquium: Many-body
localization, thermalization, and entanglement,” Reviews of Modern Physics,
vol. 91, no. 2. American Physical Society, 2019.'
ista: 'Abanin DA, Altman E, Bloch I, Serbyn M. 2019. Colloquium: Many-body localization,
thermalization, and entanglement. Reviews of Modern Physics. 91(2), 021001.'
mla: 'Abanin, Dmitry A., et al. “Colloquium: Many-Body Localization, Thermalization,
and Entanglement.” Reviews of Modern Physics, vol. 91, no. 2, 021001, American
Physical Society, 2019, doi:10.1103/revmodphys.91.021001.'
short: D.A. Abanin, E. Altman, I. Bloch, M. Serbyn, Reviews of Modern Physics 91
(2019).
date_created: 2019-05-23T07:38:43Z
date_published: 2019-05-22T00:00:00Z
date_updated: 2023-08-25T10:37:56Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/revmodphys.91.021001
external_id:
arxiv:
- '1804.11065'
isi:
- '000469046900001'
file:
- access_level: open_access
checksum: 4aec0e6662b09f6e0f828cd30ff2c3a6
content_type: application/pdf
creator: mserbyn
date_created: 2019-05-23T07:39:05Z
date_updated: 2020-07-14T12:47:31Z
file_id: '6478'
file_name: RevModPhys.91.021001.pdf
file_size: 1695677
relation: main_file
file_date_updated: 2020-07-14T12:47:31Z
has_accepted_license: '1'
intvolume: ' 91'
isi: 1
issue: '2'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Reviews of Modern Physics
publication_identifier:
eissn:
- 0034-6861
issn:
- 1539-0756
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Colloquium: Many-body localization, thermalization, and entanglement'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 91
year: '2019'
...
---
_id: '6575'
abstract:
- lang: eng
text: Motivated by recent experimental observations of coherent many-body revivals
in a constrained Rydbergatom chain, we construct a weak quasilocal deformation
of the Rydberg-blockaded Hamiltonian, whichmakes the revivals virtually perfect.
Our analysis suggests the existence of an underlying nonintegrableHamiltonian
which supports an emergent SU(2)-spin dynamics within a small subspace of the
many-bodyHilbert space. We show that such perfect dynamics necessitates the existence
of atypical, nonergodicenergy eigenstates—quantum many-body scars. Furthermore,
using these insights, we construct a toymodel that hosts exact quantum many-body
scars, providing an intuitive explanation of their origin. Ourresults offer specific
routes to enhancing coherent many-body revivals and provide a step towardestablishing
the stability of quantum many-body scars in the thermodynamic limit.
article_number: '220603'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Soonwon
full_name: Choi, Soonwon
last_name: Choi
- first_name: Christopher J.
full_name: Turner, Christopher J.
last_name: Turner
- first_name: Hannes
full_name: Pichler, Hannes
last_name: Pichler
- first_name: Wen Wei
full_name: Ho, Wen Wei
last_name: Ho
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Zlatko
full_name: Papić, Zlatko
last_name: Papić
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Mikhail D.
full_name: Lukin, Mikhail D.
last_name: Lukin
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
citation:
ama: Choi S, Turner CJ, Pichler H, et al. Emergent SU(2) dynamics and perfect quantum
many-body scars. Physical Review Letters. 2019;122(22). doi:10.1103/PhysRevLett.122.220603
apa: Choi, S., Turner, C. J., Pichler, H., Ho, W. W., Michailidis, A., Papić, Z.,
… Abanin, D. A. (2019). Emergent SU(2) dynamics and perfect quantum many-body
scars. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.122.220603
chicago: Choi, Soonwon, Christopher J. Turner, Hannes Pichler, Wen Wei Ho, Alexios
Michailidis, Zlatko Papić, Maksym Serbyn, Mikhail D. Lukin, and Dmitry A. Abanin.
“Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars.” Physical Review
Letters. American Physical Society, 2019. https://doi.org/10.1103/PhysRevLett.122.220603.
ieee: S. Choi et al., “Emergent SU(2) dynamics and perfect quantum many-body
scars,” Physical Review Letters, vol. 122, no. 22. American Physical Society,
2019.
ista: Choi S, Turner CJ, Pichler H, Ho WW, Michailidis A, Papić Z, Serbyn M, Lukin
MD, Abanin DA. 2019. Emergent SU(2) dynamics and perfect quantum many-body scars.
Physical Review Letters. 122(22), 220603.
mla: Choi, Soonwon, et al. “Emergent SU(2) Dynamics and Perfect Quantum Many-Body
Scars.” Physical Review Letters, vol. 122, no. 22, 220603, American Physical
Society, 2019, doi:10.1103/PhysRevLett.122.220603.
short: S. Choi, C.J. Turner, H. Pichler, W.W. Ho, A. Michailidis, Z. Papić, M. Serbyn,
M.D. Lukin, D.A. Abanin, Physical Review Letters 122 (2019).
date_created: 2019-06-23T21:59:13Z
date_published: 2019-06-07T00:00:00Z
date_updated: 2024-02-28T13:12:22Z
day: '07'
department:
- _id: MaSe
doi: 10.1103/PhysRevLett.122.220603
external_id:
arxiv:
- '1812.05561'
isi:
- '000470885800005'
intvolume: ' 122'
isi: 1
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1812.05561
month: '06'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
eissn:
- '10797114'
issn:
- '00319007'
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Emergent SU(2) dynamics and perfect quantum many-body scars
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 122
year: '2019'
...
---
_id: '289'
abstract:
- lang: eng
text: We report on quantum capacitance measurements of high quality, graphite- and
hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices.
At zero applied magnetic field, we observe a number of electron density- and electrical
displacement-tuned features in the electronic compressibility associated with
changes in Fermi surface topology. At high displacement field and low density,
strong trigonal warping gives rise to emergent Dirac gullies centered near the
corners of the hexagonal Brillouin and related by three fold rotation symmetry.
At low magnetic fields of B=1.25~T, the gullies manifest as a change in the degeneracy
of the Landau levels from two to three. Weak incompressible states are also observed
at integer filling within these triplets Landau levels, which a Hartree-Fock analysis
indicates are associated with Coulomb-driven nematic phases that spontaneously
break rotation symmetry.
acknowledgement: The experimental work at UCSB was funded by the National Science
Foundation under Grant No. DMR- 1654186. Work at Columbia was supported by the National
Science Foundation under Grant No. DMR- 1507788. K. W. and T. T. acknowledge support
from the Elemental Strategy Initiative conducted by the Ministry of Education, Culture,
Sports, Science and Technology, Japan, and the Japan Society for the Promotion of
Science KAKENHI Grant No. JP15K21722. E. M. S. acknowledges the support of the Elings
Fellowship from the California Nanosystems Institute at the University of California,
Santa Barbara. A. F. Y. acknowledges the support of the David and Lucile Packard
foundation and the Sloan Foundation. Measurements made use of a dilution refrigerator
funded through the Major Research Instrumentation program of the U.S. National Science
Foundation under Grant No. DMR- 1531389, and the MRL Shared Experimental Facilities,
which are supported by the MRSEC Program of the U.S. National Science Foundation
under Grant No. DMR- 1720256.
article_number: '167601'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexander
full_name: Zibrov, Alexander
last_name: Zibrov
- first_name: Rao
full_name: Peng, Rao
id: 47C23AC6-02D0-11E9-BD0E-99399A5D3DEB
last_name: Peng
orcid: 0000-0003-1250-0021
- first_name: Carlos
full_name: Kometter, Carlos
last_name: Kometter
- first_name: Jia
full_name: Li, Jia
last_name: Li
- first_name: Cory
full_name: Dean, Cory
last_name: Dean
- first_name: Takashi
full_name: Taniguchi, Takashi
last_name: Taniguchi
- first_name: Kenji
full_name: Watanabe, Kenji
last_name: Watanabe
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Andrea
full_name: Young, Andrea
last_name: Young
citation:
ama: Zibrov A, Rao P, Kometter C, et al. Emergent dirac gullies and gully-symmetry-breaking
quantum hall states in ABA trilayer graphene. Physical Review Letters.
2018;121(16). doi:10.1103/PhysRevLett.121.167601
apa: Zibrov, A., Rao, P., Kometter, C., Li, J., Dean, C., Taniguchi, T., … Young,
A. (2018). Emergent dirac gullies and gully-symmetry-breaking quantum hall states
in ABA trilayer graphene. Physical Review Letters. American Physical Society.
https://doi.org/10.1103/PhysRevLett.121.167601
chicago: Zibrov, Alexander, Peng Rao, Carlos Kometter, Jia Li, Cory Dean, Takashi
Taniguchi, Kenji Watanabe, Maksym Serbyn, and Andrea Young. “Emergent Dirac Gullies
and Gully-Symmetry-Breaking Quantum Hall States in ABA Trilayer Graphene.” Physical
Review Letters. American Physical Society, 2018. https://doi.org/10.1103/PhysRevLett.121.167601.
ieee: A. Zibrov et al., “Emergent dirac gullies and gully-symmetry-breaking
quantum hall states in ABA trilayer graphene,” Physical Review Letters,
vol. 121, no. 16. American Physical Society, 2018.
ista: Zibrov A, Rao P, Kometter C, Li J, Dean C, Taniguchi T, Watanabe K, Serbyn
M, Young A. 2018. Emergent dirac gullies and gully-symmetry-breaking quantum hall
states in ABA trilayer graphene. Physical Review Letters. 121(16), 167601.
mla: Zibrov, Alexander, et al. “Emergent Dirac Gullies and Gully-Symmetry-Breaking
Quantum Hall States in ABA Trilayer Graphene.” Physical Review Letters,
vol. 121, no. 16, 167601, American Physical Society, 2018, doi:10.1103/PhysRevLett.121.167601.
short: A. Zibrov, P. Rao, C. Kometter, J. Li, C. Dean, T. Taniguchi, K. Watanabe,
M. Serbyn, A. Young, Physical Review Letters 121 (2018).
date_created: 2018-12-11T11:45:38Z
date_published: 2018-10-19T00:00:00Z
date_updated: 2023-09-11T13:39:50Z
day: '19'
department:
- _id: MaSe
doi: 10.1103/PhysRevLett.121.167601
external_id:
arxiv:
- '1805.01038'
isi:
- '000447307500007'
intvolume: ' 121'
isi: 1
issue: '16'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1805.01038
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA
trilayer graphene
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 121
year: '2018'
...
---
_id: '296'
abstract:
- lang: eng
text: The thermodynamic description of many-particle systems rests on the assumption
of ergodicity, the ability of a system to explore all allowed configurations in
the phase space. Recent studies on many-body localization have revealed the existence
of systems that strongly violate ergodicity in the presence of quenched disorder.
Here, we demonstrate that ergodicity can be weakly broken by a different mechanism,
arising from the presence of special eigenstates in the many-body spectrum that
are reminiscent of quantum scars in chaotic non-interacting systems. In the single-particle
case, quantum scars correspond to wavefunctions that concentrate in the vicinity
of unstable periodic classical trajectories. We show that many-body scars appear
in the Fibonacci chain, a model with a constrained local Hilbert space that has
recently been experimentally realized in a Rydberg-atom quantum simulator. The
quantum scarred eigenstates are embedded throughout the otherwise thermalizing
many-body spectrum but lead to direct experimental signatures, as we show for
periodic recurrences that reproduce those observed in the experiment. Our results
suggest that scarred many-body bands give rise to a new universality class of
quantum dynamics, opening up opportunities for the creation of novel states with
long-lived coherence in systems that are now experimentally realizable.
acknowledgement: C.J.T., A.M. and Z.P. acknowledge support from EPSRC grants EP/P009409/1
and EP/M50807X/1, and Royal Society Research Grant RG160635. D.A. acknowledges support
from the Swiss National Science Foundation.
article_processing_charge: No
article_type: original
author:
- first_name: Christopher
full_name: Turner, Christopher
last_name: Turner
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Dmitry
full_name: Abanin, Dmitry
last_name: Abanin
- 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: Turner C, Michailidis A, Abanin D, Serbyn M, Papić Z. Weak ergodicity breaking
from quantum many-body scars. Nature Physics. 2018;14:745-749. doi:10.1038/s41567-018-0137-5
apa: Turner, C., Michailidis, A., Abanin, D., Serbyn, M., & Papić, Z. (2018).
Weak ergodicity breaking from quantum many-body scars. Nature Physics.
Nature Publishing Group. https://doi.org/10.1038/s41567-018-0137-5
chicago: Turner, Christopher, Alexios Michailidis, Dmitry Abanin, Maksym Serbyn,
and Zlatko Papić. “Weak Ergodicity Breaking from Quantum Many-Body Scars.” Nature
Physics. Nature Publishing Group, 2018. https://doi.org/10.1038/s41567-018-0137-5.
ieee: C. Turner, A. Michailidis, D. Abanin, M. Serbyn, and Z. Papić, “Weak ergodicity
breaking from quantum many-body scars,” Nature Physics, vol. 14. Nature
Publishing Group, pp. 745–749, 2018.
ista: Turner C, Michailidis A, Abanin D, Serbyn M, Papić Z. 2018. Weak ergodicity
breaking from quantum many-body scars. Nature Physics. 14, 745–749.
mla: Turner, Christopher, et al. “Weak Ergodicity Breaking from Quantum Many-Body
Scars.” Nature Physics, vol. 14, Nature Publishing Group, 2018, pp. 745–49,
doi:10.1038/s41567-018-0137-5.
short: C. Turner, A. Michailidis, D. Abanin, M. Serbyn, Z. Papić, Nature Physics
14 (2018) 745–749.
date_created: 2018-12-11T11:45:40Z
date_published: 2018-05-14T00:00:00Z
date_updated: 2023-09-19T10:37:55Z
day: '14'
department:
- _id: MaSe
doi: 10.1038/s41567-018-0137-5
external_id:
isi:
- '000438253600028'
intvolume: ' 14'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://eprints.whiterose.ac.uk/130860/
month: '05'
oa: 1
oa_version: Submitted Version
page: 745 - 749
publication: Nature Physics
publication_status: published
publisher: Nature Publishing Group
publist_id: '7585'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Weak ergodicity breaking from quantum many-body scars
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 14
year: '2018'
...
---
_id: '327'
abstract:
- lang: eng
text: Many-body quantum systems typically display fast dynamics and ballistic spreading
of information. Here we address the open problem of how slow the dynamics can
be after a generic breaking of integrability by local interactions. We develop
a method based on degenerate perturbation theory that reveals slow dynamical regimes
and delocalization processes in general translation invariant models, along with
accurate estimates of their delocalization time scales. Our results shed light
on the fundamental questions of the robustness of quantum integrable systems and
the possibility of many-body localization without disorder. As an example, we
construct a large class of one-dimensional lattice models where, despite the absence
of asymptotic localization, the transient dynamics is exceptionally slow, i.e.,
the dynamics is indistinguishable from that of many-body localized systems for
the system sizes and time scales accessible in experiments and numerical simulations.
acknowledgement: 'We thank F. Huveneers for useful discussions. Z.P. and A.M. acknowledge
support by EPSRC Grant No. EP/P009409/1 and and the Royal Society Research Grant
No. RG160635. Statement of compliance with EPSRC policy framework on research data:
This publication is theoretical work that does not require supporting research data.
D.A. acknowledges support by the Swiss National Science Foundation. M.Z., M.M. and
T.P. acknowledge Grants J1-7279 (M.Z.) and N1-0025 (M.M. and T.P.) of Slovenian
Research Agency, and Advanced Grant of European Research Council, Grant No. 694544
- OMNES (T.P.).'
article_number: '104307'
article_processing_charge: No
author:
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Marko
full_name: Žnidarič, Marko
last_name: Žnidarič
- first_name: Mariya
full_name: Medvedyeva, Mariya
last_name: Medvedyeva
- first_name: Dmitry
full_name: Abanin, Dmitry
last_name: Abanin
- first_name: Tomaž
full_name: Prosen, Tomaž
last_name: Prosen
- first_name: Zlatko
full_name: Papić, Zlatko
last_name: Papić
citation:
ama: Michailidis A, Žnidarič M, Medvedyeva M, Abanin D, Prosen T, Papić Z. Slow
dynamics in translation-invariant quantum lattice models. Physical Review B.
2018;97(10). doi:10.1103/PhysRevB.97.104307
apa: Michailidis, A., Žnidarič, M., Medvedyeva, M., Abanin, D., Prosen, T., &
Papić, Z. (2018). Slow dynamics in translation-invariant quantum lattice models.
Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.97.104307
chicago: Michailidis, Alexios, Marko Žnidarič, Mariya Medvedyeva, Dmitry Abanin,
Tomaž Prosen, and Zlatko Papić. “Slow Dynamics in Translation-Invariant Quantum
Lattice Models.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/PhysRevB.97.104307.
ieee: A. Michailidis, M. Žnidarič, M. Medvedyeva, D. Abanin, T. Prosen, and Z. Papić,
“Slow dynamics in translation-invariant quantum lattice models,” Physical Review
B, vol. 97, no. 10. American Physical Society, 2018.
ista: Michailidis A, Žnidarič M, Medvedyeva M, Abanin D, Prosen T, Papić Z. 2018.
Slow dynamics in translation-invariant quantum lattice models. Physical Review
B. 97(10), 104307.
mla: Michailidis, Alexios, et al. “Slow Dynamics in Translation-Invariant Quantum
Lattice Models.” Physical Review B, vol. 97, no. 10, 104307, American Physical
Society, 2018, doi:10.1103/PhysRevB.97.104307.
short: A. Michailidis, M. Žnidarič, M. Medvedyeva, D. Abanin, T. Prosen, Z. Papić,
Physical Review B 97 (2018).
date_created: 2018-12-11T11:45:50Z
date_published: 2018-03-19T00:00:00Z
date_updated: 2023-09-18T09:31:46Z
day: '19'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.97.104307
external_id:
isi:
- '000427798800005'
intvolume: ' 97'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1706.05026
month: '03'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_status: published
publisher: American Physical Society
publist_id: '7538'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Slow dynamics in translation-invariant quantum lattice models
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 97
year: '2018'
...
---
_id: '46'
abstract:
- lang: eng
text: We analyze a disordered central spin model, where a central spin interacts
equally with each spin in a periodic one-dimensional (1D) random-field Heisenberg
chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase,
we find that the coupling to the central spin suffices to delocalize the chain
for a substantial range of coupling strengths. We calculate the phase diagram
of the model and identify the phase boundary between the MBL and ergodic phase.
Within the localized phase, the central spin significantly enhances the rate of
the logarithmic entanglement growth and its saturation value. We attribute the
increase in entanglement entropy to a nonextensive enhancement of magnetization
fluctuations induced by the central spin. Finally, we demonstrate that correlation
functions of the central spin can be utilized to distinguish between MBL and ergodic
phases of the 1D chain. Hence, we propose the use of a central spin as a possible
experimental probe to identify the MBL phase.
acknowledgement: F.P. acknowledges the sup- port of the DFG Research Unit FOR 1807
through Grants No. PO 1370/2-1 and No. TRR80, the Nanosystems Initiative Munich
(NIM) by the German Excellence Initiative, and the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation programme (Grant
Agreement No. 771537). N.Y.Y. acknowledges support from the NSF (PHY-1654740), the
ARO STIR program, and a Google research award.
article_number: '161122'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Daniel
full_name: Hetterich, Daniel
last_name: Hetterich
- first_name: Norman
full_name: Yao, Norman
last_name: Yao
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Frank
full_name: Pollmann, Frank
last_name: Pollmann
- first_name: Björn
full_name: Trauzettel, Björn
last_name: Trauzettel
citation:
ama: Hetterich D, Yao N, Serbyn M, Pollmann F, Trauzettel B. Detection and characterization
of many-body localization in central spin models. Physical Review B. 2018;98(16).
doi:10.1103/PhysRevB.98.161122
apa: Hetterich, D., Yao, N., Serbyn, M., Pollmann, F., & Trauzettel, B. (2018).
Detection and characterization of many-body localization in central spin models.
Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.98.161122
chicago: Hetterich, Daniel, Norman Yao, Maksym Serbyn, Frank Pollmann, and Björn
Trauzettel. “Detection and Characterization of Many-Body Localization in Central
Spin Models.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/PhysRevB.98.161122.
ieee: D. Hetterich, N. Yao, M. Serbyn, F. Pollmann, and B. Trauzettel, “Detection
and characterization of many-body localization in central spin models,” Physical
Review B, vol. 98, no. 16. American Physical Society, 2018.
ista: Hetterich D, Yao N, Serbyn M, Pollmann F, Trauzettel B. 2018. Detection and
characterization of many-body localization in central spin models. Physical Review
B. 98(16), 161122.
mla: Hetterich, Daniel, et al. “Detection and Characterization of Many-Body Localization
in Central Spin Models.” Physical Review B, vol. 98, no. 16, 161122, American
Physical Society, 2018, doi:10.1103/PhysRevB.98.161122.
short: D. Hetterich, N. Yao, M. Serbyn, F. Pollmann, B. Trauzettel, Physical Review
B 98 (2018).
date_created: 2018-12-11T11:44:20Z
date_published: 2018-10-15T00:00:00Z
date_updated: 2023-09-11T12:55:03Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.98.161122
external_id:
arxiv:
- '1806.08316'
isi:
- '000448596500002'
intvolume: ' 98'
isi: 1
issue: '16'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1806.08316
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_status: published
publisher: American Physical Society
publist_id: '8008'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Detection and characterization of many-body localization in central spin models
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 98
year: '2018'
...
---
_id: '5767'
abstract:
- lang: eng
text: 'Cuprate superconductors have long been thought of as having strong electronic
correlations but negligible spin-orbit coupling. Using spin- and angle-resolved
photoemission spectroscopy, we discovered that one of the most studied cuprate
superconductors, Bi2212, has a nontrivial spin texture with a spin-momentum locking
that circles the Brillouin zone center and a spin-layer locking that allows states
of opposite spin to be localized in different parts of the unit cell. Our findings
pose challenges for the vast majority of models of cuprates, such as the Hubbard
model and its variants, where spin-orbit interaction has been mostly neglected,
and open the intriguing question of how the high-temperature superconducting state
emerges in the presence of this nontrivial spin texture. '
acknowledgement: ' M.S. was supported by the Gordon and Betty Moore Foundation s EPiQS
Initiative through grant GBMF4307'
article_processing_charge: No
article_type: original
author:
- first_name: Kenneth
full_name: Gotlieb, Kenneth
last_name: Gotlieb
- first_name: Chiu-Yun
full_name: Lin, Chiu-Yun
last_name: Lin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Wentao
full_name: Zhang, Wentao
last_name: Zhang
- first_name: Christopher L.
full_name: Smallwood, Christopher L.
last_name: Smallwood
- first_name: Christopher
full_name: Jozwiak, Christopher
last_name: Jozwiak
- first_name: Hiroshi
full_name: Eisaki, Hiroshi
last_name: Eisaki
- first_name: Zahid
full_name: Hussain, Zahid
last_name: Hussain
- first_name: Ashvin
full_name: Vishwanath, Ashvin
last_name: Vishwanath
- first_name: Alessandra
full_name: Lanzara, Alessandra
last_name: Lanzara
citation:
ama: Gotlieb K, Lin C-Y, Serbyn M, et al. Revealing hidden spin-momentum locking
in a high-temperature cuprate superconductor. Science. 2018;362(6420):1271-1275.
doi:10.1126/science.aao0980
apa: Gotlieb, K., Lin, C.-Y., Serbyn, M., Zhang, W., Smallwood, C. L., Jozwiak,
C., … Lanzara, A. (2018). Revealing hidden spin-momentum locking in a high-temperature
cuprate superconductor. Science. American Association for the Advancement
of Science. https://doi.org/10.1126/science.aao0980
chicago: Gotlieb, Kenneth, Chiu-Yun Lin, Maksym Serbyn, Wentao Zhang, Christopher
L. Smallwood, Christopher Jozwiak, Hiroshi Eisaki, Zahid Hussain, Ashvin Vishwanath,
and Alessandra Lanzara. “Revealing Hidden Spin-Momentum Locking in a High-Temperature
Cuprate Superconductor.” Science. American Association for the Advancement
of Science, 2018. https://doi.org/10.1126/science.aao0980.
ieee: K. Gotlieb et al., “Revealing hidden spin-momentum locking in a high-temperature
cuprate superconductor,” Science, vol. 362, no. 6420. American Association
for the Advancement of Science, pp. 1271–1275, 2018.
ista: Gotlieb K, Lin C-Y, Serbyn M, Zhang W, Smallwood CL, Jozwiak C, Eisaki H,
Hussain Z, Vishwanath A, Lanzara A. 2018. Revealing hidden spin-momentum locking
in a high-temperature cuprate superconductor. Science. 362(6420), 1271–1275.
mla: Gotlieb, Kenneth, et al. “Revealing Hidden Spin-Momentum Locking in a High-Temperature
Cuprate Superconductor.” Science, vol. 362, no. 6420, American Association
for the Advancement of Science, 2018, pp. 1271–75, doi:10.1126/science.aao0980.
short: K. Gotlieb, C.-Y. Lin, M. Serbyn, W. Zhang, C.L. Smallwood, C. Jozwiak, H.
Eisaki, Z. Hussain, A. Vishwanath, A. Lanzara, Science 362 (2018) 1271–1275.
date_created: 2018-12-19T14:53:50Z
date_published: 2018-12-14T00:00:00Z
date_updated: 2023-09-18T08:11:56Z
day: '14'
department:
- _id: MaSe
doi: 10.1126/science.aao0980
external_id:
isi:
- '000452994400048'
intvolume: ' 362'
isi: 1
issue: '6420'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1126/science.aao0980
month: '12'
oa: 1
oa_version: Published Version
page: 1271-1275
publication: Science
publication_identifier:
eissn:
- 1095-9203
issn:
- 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Revealing hidden spin-momentum locking in a high-temperature cuprate superconductor
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 362
year: '2018'
...
---
_id: '44'
abstract:
- lang: eng
text: 'Recent realization of a kinetically constrained chain of Rydberg atoms by
Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation
of unusual revivals in the many-body quantum dynamics. In our previous work [C.
J. Turner et al., Nat. Phys. 14, 745 (2018)], such dynamics was attributed to
the existence of “quantum scarred” eigenstates in the many-body spectrum of the
experimentally realized model. Here, we present a detailed study of the eigenstate
properties of the same model. We find that the majority of the eigenstates exhibit
anomalous thermalization: the observable expectation values converge to their
Gibbs ensemble values, but parametrically slower compared to the predictions of
the eigenstate thermalization hypothesis (ETH). Amidst the thermalizing spectrum,
we identify nonergodic eigenstates that strongly violate the ETH, whose number
grows polynomially with system size. Previously, the same eigenstates were identified
via large overlaps with certain product states, and were used to explain the revivals
observed in experiment. Here, we find that these eigenstates, in addition to highly
atypical expectation values of local observables, also exhibit subthermal entanglement
entropy that scales logarithmically with the system size. Moreover, we identify
an additional class of quantum scarred eigenstates, and discuss their manifestations
in the dynamics starting from initial product states. We use forward scattering
approximation to describe the structure and physical properties of quantum scarred
eigenstates. Finally, we discuss the stability of quantum scars to various perturbations.
We observe that quantum scars remain robust when the introduced perturbation is
compatible with the forward scattering approximation. In contrast, the perturbations
which most efficiently destroy quantum scars also lead to the restoration of “canonical”
thermalization.'
acknowledged_ssus:
- _id: ScienComp
article_number: '155134'
article_processing_charge: No
arxiv: 1
author:
- first_name: C J
full_name: Turner, C J
last_name: Turner
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: D A
full_name: Abanin, D 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
- first_name: Z
full_name: Papić, Z
last_name: Papić
citation:
ama: 'Turner CJ, Michailidis A, Abanin DA, Serbyn M, Papić Z. Quantum scarred eigenstates
in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability
to perturbations. Physical Review B. 2018;98(15). doi:10.1103/PhysRevB.98.155134'
apa: 'Turner, C. J., Michailidis, A., Abanin, D. A., Serbyn, M., & Papić, Z.
(2018). Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown
of thermalization, and stability to perturbations. Physical Review B. American
Physical Society. https://doi.org/10.1103/PhysRevB.98.155134'
chicago: 'Turner, C J, Alexios Michailidis, D A Abanin, Maksym Serbyn, and Z Papić.
“Quantum Scarred Eigenstates in a Rydberg Atom Chain: Entanglement, Breakdown
of Thermalization, and Stability to Perturbations.” Physical Review B.
American Physical Society, 2018. https://doi.org/10.1103/PhysRevB.98.155134.'
ieee: 'C. J. Turner, A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papić, “Quantum
scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization,
and stability to perturbations,” Physical Review B, vol. 98, no. 15. American
Physical Society, 2018.'
ista: 'Turner CJ, Michailidis A, Abanin DA, Serbyn M, Papić Z. 2018. Quantum scarred
eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization,
and stability to perturbations. Physical Review B. 98(15), 155134.'
mla: 'Turner, C. J., et al. “Quantum Scarred Eigenstates in a Rydberg Atom Chain:
Entanglement, Breakdown of Thermalization, and Stability to Perturbations.” Physical
Review B, vol. 98, no. 15, 155134, American Physical Society, 2018, doi:10.1103/PhysRevB.98.155134.'
short: C.J. Turner, A. Michailidis, D.A. Abanin, M. Serbyn, Z. Papić, Physical Review
B 98 (2018).
date_created: 2018-12-11T11:44:19Z
date_published: 2018-10-22T00:00:00Z
date_updated: 2023-10-10T13:28:49Z
day: '22'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.98.155134
external_id:
arxiv:
- '1806.10933'
isi:
- '000447919100001'
intvolume: ' 98'
isi: 1
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1806.10933
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_status: published
publisher: American Physical Society
publist_id: '8010'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown
of thermalization, and stability to perturbations'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 98
year: '2018'
...