---
_id: '14334'
abstract:
- lang: eng
text: Quantum kinetically constrained models have recently attracted significant
attention due to their anomalous dynamics and thermalization. In this work, we
introduce a hitherto unexplored family of kinetically constrained models featuring
conserved particle number and strong inversion-symmetry breaking due to facilitated
hopping. We demonstrate that these models provide a generic example of so-called
quantum Hilbert space fragmentation, that is manifested in disconnected sectors
in the Hilbert space that are not apparent in the computational basis. Quantum
Hilbert space fragmentation leads to an exponential in system size number of eigenstates
with exactly zero entanglement entropy across several bipartite cuts. These eigenstates
can be probed dynamically using quenches from simple initial product states. In
addition, we study the particle spreading under unitary dynamics launched from
the domain wall state, and find faster than diffusive dynamics at high particle
densities, that crosses over into logarithmically slow relaxation at smaller densities.
Using a classically simulable cellular automaton, we reproduce the logarithmic
dynamics observed in the quantum case. Our work suggests that particle conserving
constrained models with inversion symmetry breaking realize so far unexplored
dynamical behavior and invite their further theoretical and experimental studies.
acknowledgement: "We would like to thank Raimel A. Medina, Hansveer Singh, and Dmitry
Abanin for useful\r\ndiscussions.The authors acknowledge support by the European
Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation
program (Grant\r\nAgreement No. 850899). We acknowledge support by the Erwin Schrödinger
International\r\nInstitute for Mathematics and Physics (ESI)."
article_number: '093'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
orcid: 0000-0003-0038-7068
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics
in particle-conserving quantum East models. SciPost Physics. 2023;15(3).
doi:10.21468/scipostphys.15.3.093
apa: Brighi, P., Ljubotina, M., & Serbyn, M. (2023). Hilbert space fragmentation
and slow dynamics in particle-conserving quantum East models. SciPost Physics.
SciPost Foundation. https://doi.org/10.21468/scipostphys.15.3.093
chicago: Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation
and Slow Dynamics in Particle-Conserving Quantum East Models.” SciPost Physics.
SciPost Foundation, 2023. https://doi.org/10.21468/scipostphys.15.3.093.
ieee: P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow
dynamics in particle-conserving quantum East models,” SciPost Physics,
vol. 15, no. 3. SciPost Foundation, 2023.
ista: Brighi P, Ljubotina M, Serbyn M. 2023. Hilbert space fragmentation and slow
dynamics in particle-conserving quantum East models. SciPost Physics. 15(3), 093.
mla: Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving
Quantum East Models.” SciPost Physics, vol. 15, no. 3, 093, SciPost Foundation,
2023, doi:10.21468/scipostphys.15.3.093.
short: P. Brighi, M. Ljubotina, M. Serbyn, SciPost Physics 15 (2023).
date_created: 2023-09-14T13:08:23Z
date_published: 2023-09-13T00:00:00Z
date_updated: 2023-09-20T10:46:29Z
day: '13'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphys.15.3.093
ec_funded: 1
external_id:
arxiv:
- '2210.15607'
file:
- access_level: open_access
checksum: 4cef6a8021f6b6c47ab2f2f2b1387ac2
content_type: application/pdf
creator: dernst
date_created: 2023-09-20T10:46:10Z
date_updated: 2023-09-20T10:46:10Z
file_id: '14350'
file_name: 2023_SciPostPhysics_Brighi.pdf
file_size: 4866506
relation: main_file
success: 1
file_date_updated: 2023-09-20T10:46:10Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: SciPost Physics
publication_identifier:
issn:
- 2542-4653
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
related_material:
record:
- id: '12750'
relation: earlier_version
status: public
status: public
title: Hilbert space fragmentation and slow dynamics in particle-conserving quantum
East models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2023'
...
---
_id: '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: '12839'
abstract:
- lang: eng
text: Universal nonequilibrium properties of isolated quantum systems are typically
probed by studying transport of conserved quantities, such as charge or spin,
while transport of energy has received considerably less attention. Here, we study
infinite-temperature energy transport in the kinetically constrained PXP model
describing Rydberg atom quantum simulators. Our state-of-the-art numerical simulations,
including exact diagonalization and time-evolving block decimation methods, reveal
the existence of two distinct transport regimes. At moderate times, the energy-energy
correlation function displays periodic oscillations due to families of eigenstates
forming different su(2) representations hidden within the spectrum. These families
of eigenstates generalize the quantum many-body scarred states found in previous
works and leave an imprint on the infinite-temperature energy transport. At later
times, we observe a long-lived superdiffusive transport regime that we attribute
to the proximity of a nearby integrable point. While generic strong deformations
of the PXP model indeed restore diffusive transport, adding a strong chemical
potential intriguingly gives rise to a well-converged superdiffusive exponent
z≈3/2. Our results suggest constrained models to be potential hosts of novel transport
regimes and call for developing an analytic understanding of their energy transport.
acknowledgement: "We would like to thank Alexios Michailidis, Sarang Gopalakrishnan,
and Achilleas Lazarides for useful comments. M. L. and M. S. acknowledge support
by the European Research Council under the European Union’s Horizon 2020 research
and innovation program (Grant\r\nAgreement No. 850899). J.-Y. D. and Z. P. acknowledge
support by EPSRC Grant No. EP/R513258/1 and the Leverhulme Trust Research Leadership
Grant No. RL2019-015. Statement of compliance with EPSRC policy framework on research
data: This publication is theoretical work that does not require supporting research
data. M. S., M. L., and Z. P. acknowledge support by the Erwin Schrödinger International
Institute for Mathematics and\r\nPhysics. M. L. and M. S. acknowledge PRACE for
awarding us access to Joliot-Curie at GENCI@CEA, France, where the TEBD simulations
were performed. The TEBD\r\nsimulations were performed using the ITENSOR library
[54]."
article_number: '011033'
article_processing_charge: No
article_type: original
author:
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
- first_name: Jean Yves
full_name: Desaules, Jean Yves
last_name: Desaules
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Zlatko
full_name: Papić, Zlatko
last_name: Papić
citation:
ama: Ljubotina M, Desaules JY, Serbyn M, Papić Z. Superdiffusive energy transport
in kinetically constrained models. Physical Review X. 2023;13(1). doi:10.1103/PhysRevX.13.011033
apa: Ljubotina, M., Desaules, J. Y., Serbyn, M., & Papić, Z. (2023). Superdiffusive
energy transport in kinetically constrained models. Physical Review X.
American Physical Society. https://doi.org/10.1103/PhysRevX.13.011033
chicago: Ljubotina, Marko, Jean Yves Desaules, Maksym Serbyn, and Zlatko Papić.
“Superdiffusive Energy Transport in Kinetically Constrained Models.” Physical
Review X. American Physical Society, 2023. https://doi.org/10.1103/PhysRevX.13.011033.
ieee: M. Ljubotina, J. Y. Desaules, M. Serbyn, and Z. Papić, “Superdiffusive energy
transport in kinetically constrained models,” Physical Review X, vol. 13,
no. 1. American Physical Society, 2023.
ista: Ljubotina M, Desaules JY, Serbyn M, Papić Z. 2023. Superdiffusive energy transport
in kinetically constrained models. Physical Review X. 13(1), 011033.
mla: Ljubotina, Marko, et al. “Superdiffusive Energy Transport in Kinetically Constrained
Models.” Physical Review X, vol. 13, no. 1, 011033, American Physical Society,
2023, doi:10.1103/PhysRevX.13.011033.
short: M. Ljubotina, J.Y. Desaules, M. Serbyn, Z. Papić, Physical Review X 13 (2023).
date_created: 2023-04-16T22:01:09Z
date_published: 2023-03-07T00:00:00Z
date_updated: 2023-08-01T14:11:28Z
day: '07'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/PhysRevX.13.011033
ec_funded: 1
external_id:
isi:
- '000957625700001'
file:
- access_level: open_access
checksum: ee060cea609af79bba7af74b1ce28078
content_type: application/pdf
creator: dernst
date_created: 2023-04-17T08:36:53Z
date_updated: 2023-04-17T08:36:53Z
file_id: '12845'
file_name: 2023_PhysReviewX_Ljubotina.pdf
file_size: 1958523
relation: main_file
success: 1
file_date_updated: 2023-04-17T08:36:53Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review X
publication_identifier:
eissn:
- 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superdiffusive energy transport in kinetically constrained models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13
year: '2023'
...
---
_id: '12269'
abstract:
- lang: eng
text: We study the thermalization of a small XX chain coupled to long, gapped XXZ
leads at either side by observing the relaxation dynamics of the whole system.
Using extensive tensor network simulations, we show that such systems, although
not integrable, appear to show either extremely slow thermalization or even lack
thereof since the two cannot be distinguished within the accuracy of our numerics.
We show that the persistent oscillations observed in the spin current in the middle
of the XX chain are related to eigenstates of the entire system located within
the gap of the boundary chains. We find from exact diagonalization that some of
these states remain strictly localized within the XX chain and do not hybridize
with the rest of the system. The frequencies of the persistent oscillations determined
by numerical simulations of dynamics match the energy differences between these
states exactly. This has important implications for open systems, where the strongly
interacting leads are often assumed to thermalize the central system. Our results
suggest that, if we employ gapped systems for the leads, this assumption does
not hold.
acknowledgement: "M.L. and T.P. acknowledge support from the European Research Council
(ERC) through the advanced grant 694544 – OMNES and the grant P1-0402 of Slovenian
Research Agency (ARRS). M.L. acknowledges support from the European Research Council
(ERC) through the starting grant 850899 – NEQuM. D.R. acknowledges support from
the Ministry of Electronics & Information Technology (MeitY), India under the grant
for “Centre for Excellence in Quantum\r\nTechnologies” with Ref. No. 4(7)/2020-ITEA. "
article_number: '054314'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
- first_name: Dibyendu
full_name: Roy, Dibyendu
last_name: Roy
- first_name: Tomaž
full_name: Prosen, Tomaž
last_name: Prosen
citation:
ama: Ljubotina M, Roy D, Prosen T. Absence of thermalization of free systems coupled
to gapped interacting reservoirs. Physical Review B. 2022;106(5). doi:10.1103/physrevb.106.054314
apa: Ljubotina, M., Roy, D., & Prosen, T. (2022). Absence of thermalization
of free systems coupled to gapped interacting reservoirs. Physical Review B.
American Physical Society. https://doi.org/10.1103/physrevb.106.054314
chicago: Ljubotina, Marko, Dibyendu Roy, and Tomaž Prosen. “Absence of Thermalization
of Free Systems Coupled to Gapped Interacting Reservoirs.” Physical Review
B. American Physical Society, 2022. https://doi.org/10.1103/physrevb.106.054314.
ieee: M. Ljubotina, D. Roy, and T. Prosen, “Absence of thermalization of free systems
coupled to gapped interacting reservoirs,” Physical Review B, vol. 106,
no. 5. American Physical Society, 2022.
ista: Ljubotina M, Roy D, Prosen T. 2022. Absence of thermalization of free systems
coupled to gapped interacting reservoirs. Physical Review B. 106(5), 054314.
mla: Ljubotina, Marko, et al. “Absence of Thermalization of Free Systems Coupled
to Gapped Interacting Reservoirs.” Physical Review B, vol. 106, no. 5,
054314, American Physical Society, 2022, doi:10.1103/physrevb.106.054314.
short: M. Ljubotina, D. Roy, T. Prosen, Physical Review B 106 (2022).
date_created: 2023-01-16T10:00:39Z
date_published: 2022-08-31T00:00:00Z
date_updated: 2023-08-04T10:07:33Z
day: '31'
department:
- _id: MaSe
doi: 10.1103/physrevb.106.054314
ec_funded: 1
external_id:
arxiv:
- '2106.08373'
isi:
- '000861332900005'
intvolume: ' 106'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2106.08373
month: '08'
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'
scopus_import: '1'
status: public
title: Absence of thermalization of free systems coupled to gapped interacting reservoirs
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '12276'
abstract:
- lang: eng
text: Ongoing development of quantum simulators allows for a progressively finer
degree of control of quantum many-body systems. This motivates the development
of efficient approaches to facilitate the control of such systems and enable the
preparation of nontrivial quantum states. Here we formulate an approach to control
quantum systems based on matrix product states (MPSs). We compare counterdiabatic
and leakage minimization approaches to the so-called local steering problem that
consists in finding the best value of the control parameters for generating a
unitary evolution of the specific MPS in a given direction. In order to benchmark
the different approaches, we apply them to the generalization of the PXP model
known to exhibit coherent quantum dynamics due to quantum many-body scars. We
find that the leakage-based approach generally outperforms the counterdiabatic
framework and use it to construct a Floquet model with quantum scars. We perform
the first steps towards global trajectory optimization and demonstrate entanglement
steering capabilities in the generalized PXP model. Finally, we apply our leakage
minimization approach to construct quantum scars in the periodically driven nonintegrable
Ising model.
acknowledgement: We thank A. A. Michailidis for insightful discussions. M.L. and M.S.
acknowledge support from the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899).
D.A. is supported by the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and
by the Swiss National Science Foundation. The infinite TEBD simulations were performed
using the ITensor library [67].
article_number: '030343'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marko
full_name: Ljubotina, Marko
id: F75EE9BE-5C90-11EA-905D-16643DDC885E
last_name: Ljubotina
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- 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: Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product
states and quantum many-body scars. PRX Quantum. 2022;3(3). doi:10.1103/prxquantum.3.030343
apa: Ljubotina, M., Roos, B., Abanin, D. A., & Serbyn, M. (2022). Optimal steering
of matrix product states and quantum many-body scars. PRX Quantum. American
Physical Society. https://doi.org/10.1103/prxquantum.3.030343
chicago: Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal
Steering of Matrix Product States and Quantum Many-Body Scars.” PRX Quantum.
American Physical Society, 2022. https://doi.org/10.1103/prxquantum.3.030343.
ieee: M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix
product states and quantum many-body scars,” PRX Quantum, vol. 3, no. 3.
American Physical Society, 2022.
ista: Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix
product states and quantum many-body scars. PRX Quantum. 3(3), 030343.
mla: Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum
Many-Body Scars.” PRX Quantum, vol. 3, no. 3, 030343, American Physical
Society, 2022, doi:10.1103/prxquantum.3.030343.
short: M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).
date_created: 2023-01-16T10:01:56Z
date_published: 2022-09-23T00:00:00Z
date_updated: 2023-01-30T11:05:23Z
day: '23'
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- _id: RoSe
doi: 10.1103/prxquantum.3.030343
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- '2204.02899'
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intvolume: ' 3'
issue: '3'
keyword:
- General Medicine
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: PRX Quantum
publication_identifier:
eissn:
- 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
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status: public
title: Optimal steering of matrix product states and quantum many-body scars
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: 3
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:
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- '2210.15607'
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- iso: eng
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url: https://doi.org/10.48550/arXiv.2210.15607
month: '11'
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publication: arXiv
publication_status: submitted
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title: Hilbert space fragmentation and slow dynamics in particle-conserving quantum
East models
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image: /images/cc_by_nc_sa.png
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...