---
_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:
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checksum: 4cef6a8021f6b6c47ab2f2f2b1387ac2
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intvolume: ' 15'
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keyword:
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language:
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license: https://creativecommons.org/licenses/by/4.0/
month: '09'
oa: 1
oa_version: Published Version
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call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
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publication_status: published
publisher: SciPost Foundation
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title: Hilbert space fragmentation and slow dynamics in particle-conserving quantum
East models
tmp:
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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: '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
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month: '03'
oa: 1
oa_version: None
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project:
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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
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image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
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BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_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'
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relation: dissertation_contains
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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: '12750'
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
a 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
universality classes of dynamics and invite their further theoretical and experimental
studies.
article_number: '2210.15607'
article_processing_charge: No
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. arXiv. doi:10.48550/arXiv.2210.15607
apa: Brighi, P., Ljubotina, M., & Serbyn, M. (n.d.). Hilbert space fragmentation
and slow dynamics in particle-conserving quantum East models. arXiv. https://doi.org/10.48550/arXiv.2210.15607
chicago: Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation
and Slow Dynamics in Particle-Conserving Quantum East Models.” ArXiv, n.d.
https://doi.org/10.48550/arXiv.2210.15607.
ieee: P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow
dynamics in particle-conserving quantum East models,” arXiv. .
ista: Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics
in particle-conserving quantum East models. arXiv, 2210.15607.
mla: Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving
Quantum East Models.” ArXiv, 2210.15607, doi:10.48550/arXiv.2210.15607.
short: P. Brighi, M. Ljubotina, M. Serbyn, ArXiv (n.d.).
date_created: 2023-03-23T14:33:13Z
date_published: 2022-11-07T00:00:00Z
date_updated: 2023-09-20T10:46:29Z
day: '07'
department:
- _id: GradSch
- _id: MaSe
doi: 10.48550/arXiv.2210.15607
external_id:
arxiv:
- '2210.15607'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2210.15607
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
- id: '14334'
relation: later_version
status: public
status: public
title: Hilbert space fragmentation and slow dynamics in particle-conserving quantum
East models
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: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_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: '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'
...