---
_id: '11337'
abstract:
- lang: eng
text: 'Nonanalytic points in the return probability of a quantum state as a function
of time, known as dynamical quantum phase transitions (DQPTs), have received great
attention in recent years, but the understanding of their mechanism is still incomplete.
In our recent work [Phys. Rev. Lett. 126, 040602 (2021)], we demonstrated that
one-dimensional DQPTs can be produced by two distinct mechanisms, namely semiclassical
precession and entanglement generation, leading to the definition of precession
(pDQPTs) and entanglement (eDQPTs) dynamical quantum phase transitions. In this
manuscript, we extend and investigate the notion of p- and eDQPTs in two-dimensional
systems by considering semi-infinite ladders of varying width. For square lattices,
we find that pDQPTs and eDQPTs persist and are characterized by similar phenomenology
as in 1D: pDQPTs are associated with a magnetization sign change and a wide entanglement
gap, while eDQPTs correspond to suppressed local observables and avoided crossings
in the entanglement spectrum. However, DQPTs show higher sensitivity to the ladder
width and other details, challenging the extrapolation to the thermodynamic limit
especially for eDQPTs. Moving to honeycomb lattices, we also demonstrate that
lattices with an odd number of nearest neighbors give rise to phenomenologies
beyond the one-dimensional classification.'
acknowledgement: "We acknowledge support by the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme (Grant Agreement
No. 850899).\r\nS.D.N. also acknowledges funding from the Institute of Science and
Technology (IST) Austria, and from the European Union’s Horizon 2020 Research and
Innovation Programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
article_number: '165149'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: De Nicola S, Michailidis A, Serbyn M. Entanglement and precession in two-dimensional
dynamical quantum phase transitions. Physical Review B. 2022;105. doi:10.1103/PhysRevB.105.165149
apa: De Nicola, S., Michailidis, A., & Serbyn, M. (2022). Entanglement and precession
in two-dimensional dynamical quantum phase transitions. Physical Review B.
American Physical Society. https://doi.org/10.1103/PhysRevB.105.165149
chicago: De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement
and Precession in Two-Dimensional Dynamical Quantum Phase Transitions.” Physical
Review B. American Physical Society, 2022. https://doi.org/10.1103/PhysRevB.105.165149.
ieee: S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement and precession
in two-dimensional dynamical quantum phase transitions,” Physical Review B,
vol. 105. American Physical Society, 2022.
ista: De Nicola S, Michailidis A, Serbyn M. 2022. Entanglement and precession in
two-dimensional dynamical quantum phase transitions. Physical Review B. 105, 165149.
mla: De Nicola, Stefano, et al. “Entanglement and Precession in Two-Dimensional
Dynamical Quantum Phase Transitions.” Physical Review B, vol. 105, 165149,
American Physical Society, 2022, doi:10.1103/PhysRevB.105.165149.
short: S. De Nicola, A. Michailidis, M. Serbyn, Physical Review B 105 (2022).
date_created: 2022-04-28T08:06:10Z
date_published: 2022-04-15T00:00:00Z
date_updated: 2023-08-03T06:33:33Z
day: '15'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.105.165149
ec_funded: 1
external_id:
arxiv:
- '2112.11273'
isi:
- '000806812400004'
intvolume: ' 105'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2112.11273'
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Physical Review B
publication_identifier:
eisbn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Entanglement and precession in two-dimensional dynamical quantum phase transitions
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
_id: '11469'
abstract:
- lang: eng
text: Thermalizing and localized many-body quantum systems present two distinct
dynamical phases of matter. Recently the fate of a localized system coupled to
a thermalizing system viewed as a quantum bath received significant theoretical
and experimental attention. In this work, we study a mobile impurity, representing
a small quantum bath, that interacts locally with an Anderson insulator with a
finite density of localized particles. Using static Hartree approximation to obtain
an effective disorder strength, we formulate an analytic criterion for the perturbative
stability of the localization. Next, we use an approximate dynamical Hartree method
and the quasi-exact time-evolved block decimation (TEBD) algorithm to study the
dynamics of the system. We find that the dynamical Hartree approach which completely
ignores entanglement between the impurity and localized particles predicts the
delocalization of the system. In contrast, the full numerical simulation of the
unitary dynamics with TEBD suggests the stability of localization on numerically
accessible timescales. Finally, using an extension of the density matrix renormalization
group algorithm to excited states (DMRG-X), we approximate the highly excited
eigenstates of the system. We find that the impurity remains localized in the
eigenstates and entanglement is enhanced in a finite region around the position
of the impurity, confirming the dynamical predictions. Dynamics and the DMRG-X
results provide compelling evidence for the stability of localization.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We thank M. Ljubotina for insightful discussions. P. B., A. M. and
M. S. acknowledge support by the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899).
D. A. was supported by the Swiss National Science Foundation and by the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
program (Grant Agreement No. 864597). The development of parallel TEBD code was
supported by S. Elefante from the Scientific Computing (SciComp) that is part of
Scientific Service Units (SSU) of IST Austria. Some of the computations were performed
on the Baobab cluster of the University of Geneva.
article_number: '224208'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Kristina
full_name: Kirova, Kristina
id: 4aeda2ae-f847-11ec-98e0-c4a66fe174d4
last_name: Kirova
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Michailidis A, Kirova K, Abanin DA, Serbyn M. Localization of a mobile
impurity interacting with an Anderson insulator. Physical Review B. 2022;105(22).
doi:10.1103/physrevb.105.224208
apa: Brighi, P., Michailidis, A., Kirova, K., Abanin, D. A., & Serbyn, M. (2022).
Localization of a mobile impurity interacting with an Anderson insulator. Physical
Review B. American Physical Society. https://doi.org/10.1103/physrevb.105.224208
chicago: Brighi, Pietro, Alexios Michailidis, Kristina Kirova, Dmitry A. Abanin,
and Maksym Serbyn. “Localization of a Mobile Impurity Interacting with an Anderson
Insulator.” Physical Review B. American Physical Society, 2022. https://doi.org/10.1103/physrevb.105.224208.
ieee: P. Brighi, A. Michailidis, K. Kirova, D. A. Abanin, and M. Serbyn, “Localization
of a mobile impurity interacting with an Anderson insulator,” Physical Review
B, vol. 105, no. 22. American Physical Society, 2022.
ista: Brighi P, Michailidis A, Kirova K, Abanin DA, Serbyn M. 2022. Localization
of a mobile impurity interacting with an Anderson insulator. Physical Review B.
105(22), 224208.
mla: Brighi, Pietro, et al. “Localization of a Mobile Impurity Interacting with
an Anderson Insulator.” Physical Review B, vol. 105, no. 22, 224208, American
Physical Society, 2022, doi:10.1103/physrevb.105.224208.
short: P. Brighi, A. Michailidis, K. Kirova, D.A. Abanin, M. Serbyn, Physical Review
B 105 (2022).
date_created: 2022-06-29T20:19:51Z
date_published: 2022-06-27T00:00:00Z
date_updated: 2023-09-05T12:12:52Z
day: '27'
department:
- _id: MaSe
doi: 10.1103/physrevb.105.224208
ec_funded: 1
external_id:
arxiv:
- '2111.08603'
isi:
- '000823050000001'
intvolume: ' 105'
isi: 1
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2111.08603 Focus to learn more'
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
status: public
title: Localization of a mobile impurity interacting with an Anderson insulator
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 105
year: '2022'
...
---
_id: '11471'
abstract:
- lang: eng
text: 'Variational quantum algorithms are promising algorithms for achieving quantum
advantage on nearterm devices. The quantum hardware is used to implement a variational
wave function and measure observables, whereas the classical computer is used
to store and update the variational parameters. The optimization landscape of
expressive variational ansätze is however dominated by large regions in parameter
space, known as barren plateaus, with vanishing gradients, which prevents efficient
optimization. In this work we propose a general algorithm to avoid barren plateaus
in the initialization and throughout the optimization. To this end we define a
notion of weak barren plateaus (WBPs) based on the entropies of local reduced
density matrices. The presence of WBPs can be efficiently quantified using recently
introduced shadow tomography of the quantum state with a classical computer. We
demonstrate that avoidance of WBPs suffices to ensure sizable gradients in the
initialization. In addition, we demonstrate that decreasing the gradient step
size, guided by the entropies allows WBPs to be avoided during the optimization
process. This paves the way for efficient barren plateau-free optimization on
near-term devices. '
acknowledgement: "We thank Marco Cerezo, Zoe Holmes, and Nicholas Hunter-Jones for
fruitful discussion and valuable feedback. We also acknowledge Adam Smith, Johannes
Jakob Meyer, and Victor V. Albert for comments on the paper. The simulations were
performed in the Julia programming\r\nlanguage [65] using the Yao module [66]. S.H.S.,
R.A.M., A.A.M. and M.S. acknowledge support by the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
No. 850899)."
article_number: '020365'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefan
full_name: Sack, Stefan
id: dd622248-f6e0-11ea-865d-ce382a1c81a5
last_name: Sack
orcid: 0000-0001-5400-8508
- first_name: Raimel A
full_name: Medina Ramos, Raimel A
id: CE680B90-D85A-11E9-B684-C920E6697425
last_name: Medina Ramos
orcid: 0000-0002-5383-2869
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: Richard
full_name: Kueng, Richard
last_name: Kueng
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. Avoiding barren
plateaus using classical shadows. PRX Quantum. 2022;3(2). doi:10.1103/prxquantum.3.020365
apa: Sack, S., Medina Ramos, R. A., Michailidis, A., Kueng, R., & Serbyn, M.
(2022). Avoiding barren plateaus using classical shadows. PRX Quantum.
American Physical Society. https://doi.org/10.1103/prxquantum.3.020365
chicago: Sack, Stefan, Raimel A Medina Ramos, Alexios Michailidis, Richard Kueng,
and Maksym Serbyn. “Avoiding Barren Plateaus Using Classical Shadows.” PRX
Quantum. American Physical Society, 2022. https://doi.org/10.1103/prxquantum.3.020365.
ieee: S. Sack, R. A. Medina Ramos, A. Michailidis, R. Kueng, and M. Serbyn, “Avoiding
barren plateaus using classical shadows,” PRX Quantum, vol. 3, no. 2. American
Physical Society, 2022.
ista: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. 2022. Avoiding
barren plateaus using classical shadows. PRX Quantum. 3(2), 020365.
mla: Sack, Stefan, et al. “Avoiding Barren Plateaus Using Classical Shadows.” PRX
Quantum, vol. 3, no. 2, 020365, American Physical Society, 2022, doi:10.1103/prxquantum.3.020365.
short: S. Sack, R.A. Medina Ramos, A. Michailidis, R. Kueng, M. Serbyn, PRX Quantum
3 (2022).
date_created: 2022-06-29T20:21:32Z
date_published: 2022-06-29T00:00:00Z
date_updated: 2023-12-13T14:47:24Z
day: '29'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/prxquantum.3.020365
ec_funded: 1
external_id:
arxiv:
- '2201.08194'
isi:
- '000822564300001'
file:
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checksum: a7706b28d24a0e32a55ea04b82a2df43
content_type: application/pdf
creator: dernst
date_created: 2022-06-30T07:14:48Z
date_updated: 2022-06-30T07:14:48Z
file_id: '11472'
file_name: 2022_PRXQuantum_Sack.pdf
file_size: 4231591
relation: main_file
success: 1
file_date_updated: 2022-06-30T07:14:48Z
has_accepted_license: '1'
intvolume: ' 3'
isi: 1
issue: '2'
keyword:
- General Medicine
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: PRX Quantum
publication_identifier:
issn:
- 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '14622'
relation: dissertation_contains
status: public
status: public
title: Avoiding barren plateaus using classical shadows
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: 3
year: '2022'
...
---
_id: '9048'
abstract:
- lang: eng
text: The analogy between an equilibrium partition function and the return probability
in many-body unitary dynamics has led to the concept of dynamical quantum phase
transition (DQPT). DQPTs are defined by nonanalyticities in the return amplitude
and are present in many models. In some cases, DQPTs can be related to equilibrium
concepts, such as order parameters, yet their universal description is an open
question. In this Letter, we provide first steps toward a classification of DQPTs
by using a matrix product state description of unitary dynamics in the thermodynamic
limit. This allows us to distinguish the two limiting cases of “precession” and
“entanglement” DQPTs, which are illustrated using an analytical description in
the quantum Ising model. While precession DQPTs are characterized by a large entanglement
gap and are semiclassical in their nature, entanglement DQPTs occur near avoided
crossings in the entanglement spectrum and can be distinguished by a complex pattern
of nonlocal correlations. We demonstrate the existence of precession and entanglement
DQPTs beyond Ising models, discuss observables that can distinguish them, and
relate their interplay to complex DQPT phenomenology.
acknowledgement: "S. D. N. acknowledges funding from the Institute of Science and
Technology (IST) Austria and from the European Union’s Horizon 2020 Research and
Innovation Programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.
A. M. and M. S. were supported by the European Research Council (ERC) under the
European Union’s Horizon 2020 Research and\r\nInnovation Programme (Grant Agreement
No. 850899)."
article_number: '040602'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
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
citation:
ama: De Nicola S, Michailidis A, Serbyn M. Entanglement view of dynamical quantum
phase transitions. Physical Review Letters. 2021;126(4). doi:10.1103/physrevlett.126.040602
apa: De Nicola, S., Michailidis, A., & Serbyn, M. (2021). Entanglement view
of dynamical quantum phase transitions. Physical Review Letters. American
Physical Society. https://doi.org/10.1103/physrevlett.126.040602
chicago: De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement
View of Dynamical Quantum Phase Transitions.” Physical Review Letters.
American Physical Society, 2021. https://doi.org/10.1103/physrevlett.126.040602.
ieee: S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement view of dynamical
quantum phase transitions,” Physical Review Letters, vol. 126, no. 4. American
Physical Society, 2021.
ista: De Nicola S, Michailidis A, Serbyn M. 2021. Entanglement view of dynamical
quantum phase transitions. Physical Review Letters. 126(4), 040602.
mla: De Nicola, Stefano, et al. “Entanglement View of Dynamical Quantum Phase Transitions.”
Physical Review Letters, vol. 126, no. 4, 040602, American Physical Society,
2021, doi:10.1103/physrevlett.126.040602.
short: S. De Nicola, A. Michailidis, M. Serbyn, Physical Review Letters 126 (2021).
date_created: 2021-02-01T09:20:00Z
date_published: 2021-01-29T00:00:00Z
date_updated: 2023-09-05T12:08:58Z
day: '29'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevlett.126.040602
ec_funded: 1
external_id:
arxiv:
- '2008.04894'
isi:
- '000613148200001'
file:
- access_level: open_access
checksum: d9acbc502390ed7a97e631d23ae19ecd
content_type: application/pdf
creator: dernst
date_created: 2021-02-03T12:47:04Z
date_updated: 2021-02-03T12:47:04Z
file_id: '9074'
file_name: 2021_PhysicalRevLett_DeNicola.pdf
file_size: 398075
relation: main_file
success: 1
file_date_updated: 2021-02-03T12:47:04Z
has_accepted_license: '1'
intvolume: ' 126'
isi: 1
issue: '4'
keyword:
- General Physics and Astronomy
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: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Entanglement view of dynamical quantum phase transitions
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 126
year: '2021'
...
---
_id: '9618'
abstract:
- lang: eng
text: The control of nonequilibrium quantum dynamics in many-body systems is challenging
because interactions typically lead to thermalization and a chaotic spreading
throughout Hilbert space. We investigate nonequilibrium dynamics after rapid quenches
in a many-body system composed of 3 to 200 strongly interacting qubits in one
and two spatial dimensions. Using a programmable quantum simulator based on Rydberg
atom arrays, we show that coherent revivals associated with so-called quantum
many-body scars can be stabilized by periodic driving, which generates a robust
subharmonic response akin to discrete time-crystalline order. We map Hilbert space
dynamics, geometry dependence, phase diagrams, and system-size dependence of this
emergent phenomenon, demonstrating new ways to steer complex dynamics in many-body
systems and enabling potential applications in quantum information science.
acknowledgement: 'We thank many members of the Harvard AMO community, particularly
E. Urbach, S. Dakoulas, and J. Doyle for their efforts enabling safe and productive
operation of our laboratories during 2020. We thank D. Abanin, I. Cong, F. Machado,
H. Pichler, N. Yao, B. Ye, and H. Zhou for stimulating discussions. Funding: We
acknowledge financial support from the Center for Ultracold Atoms, the National
Science Foundation, the Vannevar Bush Faculty Fellowship, the U.S. Department of
Energy (LBNL QSA Center and grant no. DE-SC0021013), the Office of Naval Research,
the Army Research Office MURI, the DARPA DRINQS program (grant no. D18AC00033),
and the DARPA ONISQ program (grant no. W911NF2010021). The authors acknowledge support
from the NSF Graduate Research Fellowship Program (grant DGE1745303) and The Fannie
and John Hertz Foundation (D.B.); a National Defense Science and Engineering Graduate
(NDSEG) fellowship (H.L.); a fellowship from the Max Planck/Harvard Research Center
for Quantum Optics (G.S.); Gordon College (T.T.W.); the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation program (grant
agreement no. 850899) (A.A.M. and M.S.); a Department of Energy Computational Science
Graduate Fellowship under award number DE-SC0021110 (N.M.); the Moore Foundation’s
EPiQS Initiative grant no. GBMF4306, the NUS Development grant AY2019/2020, and
the Stanford Institute of Theoretical Physics (W.W.H.); and the Miller Institute
for Basic Research in Science (S.C.). Author contributions: D.B., A.O., H.L., A.K.,
G.S., S.E., and T.T.W. contributed to the building of the experimental setup, performed
the measurements, and analyzed the data. A.A.M., N.M., W.W.H., S.C., and M.S. performed
theoretical analysis. All work was supervised by M.G., V.V., and M.D.L. All authors
discussed the results and contributed to the manuscript. Competing interests: M.G.,
V.V., and M.D.L. are co-founders and shareholders of QuEra Computing. A.O. is a
shareholder of QuEra Computing. Data and materials availability: All data needed
to evaluate the conclusions in the paper are present in the paper and the supplementary
materials.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: D.
full_name: Bluvstein, D.
last_name: Bluvstein
- first_name: A.
full_name: Omran, A.
last_name: Omran
- first_name: H.
full_name: Levine, H.
last_name: Levine
- first_name: A.
full_name: Keesling, A.
last_name: Keesling
- first_name: G.
full_name: Semeghini, G.
last_name: Semeghini
- first_name: S.
full_name: Ebadi, S.
last_name: Ebadi
- first_name: T. T.
full_name: Wang, T. T.
last_name: Wang
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: N.
full_name: Maskara, N.
last_name: Maskara
- first_name: W. W.
full_name: Ho, W. W.
last_name: Ho
- first_name: S.
full_name: Choi, S.
last_name: Choi
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: M.
full_name: Greiner, M.
last_name: Greiner
- first_name: V.
full_name: Vuletić, V.
last_name: Vuletić
- first_name: M. D.
full_name: Lukin, M. D.
last_name: Lukin
citation:
ama: Bluvstein D, Omran A, Levine H, et al. Controlling quantum many-body dynamics
in driven Rydberg atom arrays. Science. 2021;371(6536):1355-1359. doi:10.1126/science.abg2530
apa: Bluvstein, D., Omran, A., Levine, H., Keesling, A., Semeghini, G., Ebadi, S.,
… Lukin, M. D. (2021). Controlling quantum many-body dynamics in driven Rydberg
atom arrays. Science. AAAS. https://doi.org/10.1126/science.abg2530
chicago: Bluvstein, D., A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi,
T. T. Wang, et al. “Controlling Quantum Many-Body Dynamics in Driven Rydberg Atom
Arrays.” Science. AAAS, 2021. https://doi.org/10.1126/science.abg2530.
ieee: D. Bluvstein et al., “Controlling quantum many-body dynamics in driven
Rydberg atom arrays,” Science, vol. 371, no. 6536. AAAS, pp. 1355–1359,
2021.
ista: Bluvstein D, Omran A, Levine H, Keesling A, Semeghini G, Ebadi S, Wang TT,
Michailidis A, Maskara N, Ho WW, Choi S, Serbyn M, Greiner M, Vuletić V, Lukin
MD. 2021. Controlling quantum many-body dynamics in driven Rydberg atom arrays.
Science. 371(6536), 1355–1359.
mla: Bluvstein, D., et al. “Controlling Quantum Many-Body Dynamics in Driven Rydberg
Atom Arrays.” Science, vol. 371, no. 6536, AAAS, 2021, pp. 1355–59, doi:10.1126/science.abg2530.
short: D. Bluvstein, A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi, T.T.
Wang, A. Michailidis, N. Maskara, W.W. Ho, S. Choi, M. Serbyn, M. Greiner, V.
Vuletić, M.D. Lukin, Science 371 (2021) 1355–1359.
date_created: 2021-06-29T12:04:05Z
date_published: 2021-03-26T00:00:00Z
date_updated: 2023-08-10T13:57:07Z
day: '26'
ddc:
- '539'
department:
- _id: MaSe
doi: 10.1126/science.abg2530
ec_funded: 1
external_id:
arxiv:
- '2012.12276'
isi:
- '000636043400048'
pmid:
- '33632894'
file:
- access_level: open_access
checksum: 0b356fd10ab9bb95177d4c047d4e9c1a
content_type: application/pdf
creator: patrickd
date_created: 2021-09-23T14:00:05Z
date_updated: 2021-09-23T14:00:05Z
file_id: '10040'
file_name: scars_subharmonic_combined_manuscript_2_11_2021 (2)-1.pdf
file_size: 3671159
relation: main_file
success: 1
file_date_updated: 2021-09-23T14:00:05Z
has_accepted_license: '1'
intvolume: ' 371'
isi: 1
issue: '6536'
keyword:
- Multidisciplinary
language:
- iso: eng
month: '03'
oa: 1
oa_version: Preprint
page: 1355-1359
pmid: 1
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Science
publication_identifier:
eissn:
- 1095-9203
issn:
- 0036-8075
publication_status: published
publisher: AAAS
quality_controlled: '1'
scopus_import: '1'
status: public
title: Controlling quantum many-body dynamics in driven Rydberg atom arrays
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 371
year: '2021'
...
---
_id: '9903'
abstract:
- lang: eng
text: Eigenstate thermalization in quantum many-body systems implies that eigenstates
at high energy are similar to random vectors. Identifying systems where at least
some eigenstates are nonthermal is an outstanding question. In this Letter we
show that interacting quantum models that have a nullspace—a degenerate subspace
of eigenstates at zero energy (zero modes), which corresponds to infinite temperature,
provide a route to nonthermal eigenstates. We analytically show the existence
of a zero mode which can be represented as a matrix product state for a certain
class of local Hamiltonians. In the more general case we use a subspace disentangling
algorithm to generate an orthogonal basis of zero modes characterized by increasing
entanglement entropy. We show evidence for an area-law entanglement scaling of
the least-entangled zero mode in the broad parameter regime, leading to a conjecture
that all local Hamiltonians with the nullspace feature zero modes with area-law
entanglement scaling and, as such, break the strong thermalization hypothesis.
Finally, we find zero modes in constrained models and propose a setup for observing
their experimental signatures.
acknowledgement: "We acknowledge useful discussions with V. Gritsev and A. Garkun
and suggestions on implementation of the\r\nPPXPP model by D. Bluvstein. A. M. and
M. S. were supported by the European Research Council (ERC) under\r\nthe European
Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899)"
article_number: '060602'
article_processing_charge: Yes (in subscription journal)
article_type: letter_note
arxiv: 1
author:
- first_name: Volker
full_name: Karle, Volker
id: D7C012AE-D7ED-11E9-95E8-1EC5E5697425
last_name: Karle
orcid: 0000-0002-6963-0129
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
citation:
ama: Karle V, Serbyn M, Michailidis A. Area-law entangled eigenstates from nullspaces
of local Hamiltonians. Physical Review Letters. 2021;127(6). doi:10.1103/physrevlett.127.060602
apa: Karle, V., Serbyn, M., & Michailidis, A. (2021). Area-law entangled eigenstates
from nullspaces of local Hamiltonians. Physical Review Letters. American
Physical Society. https://doi.org/10.1103/physrevlett.127.060602
chicago: Karle, Volker, Maksym Serbyn, and Alexios Michailidis. “Area-Law Entangled
Eigenstates from Nullspaces of Local Hamiltonians.” Physical Review Letters.
American Physical Society, 2021. https://doi.org/10.1103/physrevlett.127.060602.
ieee: V. Karle, M. Serbyn, and A. Michailidis, “Area-law entangled eigenstates from
nullspaces of local Hamiltonians,” Physical Review Letters, vol. 127, no.
6. American Physical Society, 2021.
ista: Karle V, Serbyn M, Michailidis A. 2021. Area-law entangled eigenstates from
nullspaces of local Hamiltonians. Physical Review Letters. 127(6), 060602.
mla: Karle, Volker, et al. “Area-Law Entangled Eigenstates from Nullspaces of Local
Hamiltonians.” Physical Review Letters, vol. 127, no. 6, 060602, American
Physical Society, 2021, doi:10.1103/physrevlett.127.060602.
short: V. Karle, M. Serbyn, A. Michailidis, Physical Review Letters 127 (2021).
date_created: 2021-08-13T09:27:39Z
date_published: 2021-08-06T00:00:00Z
date_updated: 2023-08-11T10:43:27Z
day: '06'
ddc:
- '539'
department:
- _id: MaSe
- _id: GradSch
- _id: MiLe
doi: 10.1103/physrevlett.127.060602
ec_funded: 1
external_id:
arxiv:
- '2102.13633'
isi:
- '000684276000002'
file:
- access_level: open_access
checksum: 51218f302dcef99d90d1209809fcc874
content_type: application/pdf
creator: mserbyn
date_created: 2021-08-13T09:28:08Z
date_updated: 2021-08-13T09:28:08Z
file_id: '9904'
file_name: PhysRevLett.127.060602_SOM.pdf
file_size: 5064231
relation: main_file
success: 1
file_date_updated: 2021-08-13T09:28:08Z
has_accepted_license: '1'
intvolume: ' 127'
isi: 1
issue: '6'
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 Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Area-law entangled eigenstates from nullspaces of local Hamiltonians
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: 127
year: '2021'
...
---
_id: '9960'
abstract:
- lang: eng
text: The control of many-body quantum dynamics in complex systems is a key challenge
in the quest to reliably produce and manipulate large-scale quantum entangled
states. Recently, quench experiments in Rydberg atom arrays [Bluvstein et al.
Science 371, 1355 (2021)] demonstrated that coherent revivals associated with
quantum many-body scars can be stabilized by periodic driving, generating stable
subharmonic responses over a wide parameter regime. We analyze a simple, related
model where these phenomena originate from spatiotemporal ordering in an effective
Floquet unitary, corresponding to discrete time-crystalline behavior in a prethermal
regime. Unlike conventional discrete time crystals, the subharmonic response exists
only for Néel-like initial states, associated with quantum scars. We predict robustness
to perturbations and identify emergent timescales that could be observed in future
experiments. Our results suggest a route to controlling entanglement in interacting
quantum systems by combining periodic driving with many-body scars.
acknowledgement: We thank Dmitry Abanin, Ehud Altman, Iris Cong, Sepehr Ebadi, Alex
Keesling, Harry Levine, Ahmed Omran, Hannes Pichler, Rhine Samajdar, Guilia Semeghini,
Tout Wang, Norman Yao, and Harry Zhou or stimulating discussions. We acknowledge
support from the Center for Ultracold Atoms, the National Science Foundation, the
Vannevar Bush Faculty Fellowship, the U.S. Department of Energy, the Army Research
Office MURI, and the DARPA ONISQ program (M. L., N. M, W. W. H., D. B.); the European
Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation
Programme Grant Agreement No. 850899 (A. M. and M. S.); the Department of Energy
Computational Science Graduate Fellowship under Awards No. DESC0021110 (N. M.);
the Moore Foundation EPiQS initiative Grant No. GBMF4306, the National University
of Singapore (NUS) Development Grant AY2019/2020 and the Stanford Institute for
Theoretical Physics (W. W. H.); the NSF Graduate Research Fellowship Program (Grant
No. DGE1745303) and The Fannie and John Hertz Foundation (D. B.); the Miller Institute
for Basic Research in Science (S. C.); DOE Quantum Systems Accelerator – Contract
No. 7568717; and DOE Programmable Quantum Simulators for Lattice Gauge Theories
and Gauge-Gravity Correspondence – Grant No. DE-SC0021013.
article_number: '090602'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: N.
full_name: Maskara, N.
last_name: Maskara
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
orcid: 0000-0002-8443-1064
- first_name: W. W.
full_name: Ho, W. W.
last_name: Ho
- first_name: D.
full_name: Bluvstein, D.
last_name: Bluvstein
- first_name: S.
full_name: Choi, S.
last_name: Choi
- first_name: M. D.
full_name: Lukin, M. D.
last_name: Lukin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: 'Maskara N, Michailidis A, Ho WW, et al. Discrete time-crystalline order enabled
by quantum many-body scars: Entanglement steering via periodic driving. Physical
Review Letters. 2021;127(9). doi:10.1103/PhysRevLett.127.090602'
apa: 'Maskara, N., Michailidis, A., Ho, W. W., Bluvstein, D., Choi, S., Lukin, M.
D., & Serbyn, M. (2021). Discrete time-crystalline order enabled by quantum
many-body scars: Entanglement steering via periodic driving. Physical Review
Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.127.090602'
chicago: 'Maskara, N., Alexios Michailidis, W. W. Ho, D. Bluvstein, S. Choi, M.
D. Lukin, and Maksym Serbyn. “Discrete Time-Crystalline Order Enabled by Quantum
Many-Body Scars: Entanglement Steering via Periodic Driving.” Physical Review
Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.127.090602.'
ieee: 'N. Maskara et al., “Discrete time-crystalline order enabled by quantum
many-body scars: Entanglement steering via periodic driving,” Physical Review
Letters, vol. 127, no. 9. American Physical Society, 2021.'
ista: 'Maskara N, Michailidis A, Ho WW, Bluvstein D, Choi S, Lukin MD, Serbyn M.
2021. Discrete time-crystalline order enabled by quantum many-body scars: Entanglement
steering via periodic driving. Physical Review Letters. 127(9), 090602.'
mla: 'Maskara, N., et al. “Discrete Time-Crystalline Order Enabled by Quantum Many-Body
Scars: Entanglement Steering via Periodic Driving.” Physical Review Letters,
vol. 127, no. 9, 090602, American Physical Society, 2021, doi:10.1103/PhysRevLett.127.090602.'
short: N. Maskara, A. Michailidis, W.W. Ho, D. Bluvstein, S. Choi, M.D. Lukin, M.
Serbyn, Physical Review Letters 127 (2021).
date_created: 2021-08-28T08:08:58Z
date_published: 2021-08-27T00:00:00Z
date_updated: 2023-08-11T10:57:51Z
day: '27'
department:
- _id: MaSe
doi: 10.1103/PhysRevLett.127.090602
ec_funded: 1
external_id:
arxiv:
- '2102.13160'
isi:
- '000692200100002'
intvolume: ' 127'
isi: 1
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2102.13160
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 Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: 'Discrete time-crystalline order enabled by quantum many-body scars: Entanglement
steering via periodic driving'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 127
year: '2021'
...
---
_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: '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: '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: '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: '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: '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'
...
---
_id: '984'
abstract:
- lang: eng
text: The entanglement spectrum of the reduced density matrix contains information
beyond the von Neumann entropy and provides unique insights into exotic orders
or critical behavior of quantum systems. Here, we show that strongly disordered
systems in the many-body localized phase have power-law entanglement spectra,
arising from the presence of extensively many local integrals of motion. The power-law
entanglement spectrum distinguishes many-body localized systems from ergodic systems,
as well as from ground states of gapped integrable models or free systems in the
vicinity of scale-invariant critical points. We confirm our results using large-scale
exact diagonalization. In addition, we develop a matrix-product state algorithm
which allows us to access the eigenstates of large systems close to the localization
transition, and discuss general implications of our results for variational studies
of highly excited eigenstates in many-body localized systems.
acknowledgement: We thank M. Stoudenmire and C. Turner for useful discussions. M.
S. was supported by Gordon and Betty Moore Foundation's EPiQS Initiative through
Grant No. GBMF4307. This research was supported in part by the National Science
Foundation under Grant No. NSF PHY11-25915, and by the Swiss National Science Foundation
and Alfred Sloan Foundation (D. A.). This work made use of the facilities of N8
HPC Centre of Excellence, provided and funded by the N8 consortium and EPSRC (Grant
No. EP/K000225/1). The Centre is coordinated by the Universities of Leeds and Manchester.
author:
- first_name: Maksym
full_name: Maksym Serbyn
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Alexios
full_name: Alexios Michailidis
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
- first_name: Dmitry
full_name: Abanin, Dmitry A
last_name: Abanin
- first_name: Zlatko
full_name: Papić, Zlatko
last_name: Papić
citation:
ama: Serbyn M, Michailidis A, Abanin D, Papić Z. Power-law entanglement spectrum
in many-body localized phases. Physical Review Letters. 2016;117(16). doi:10.1103/PhysRevLett.117.160601
apa: Serbyn, M., Michailidis, A., Abanin, D., & Papić, Z. (2016). Power-law
entanglement spectrum in many-body localized phases. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.117.160601
chicago: Serbyn, Maksym, Alexios Michailidis, Dmitry Abanin, and Zlatko Papić. “Power-Law
Entanglement Spectrum in Many-Body Localized Phases.” Physical Review Letters.
American Physical Society, 2016. https://doi.org/10.1103/PhysRevLett.117.160601.
ieee: M. Serbyn, A. Michailidis, D. Abanin, and Z. Papić, “Power-law entanglement
spectrum in many-body localized phases,” Physical Review Letters, vol.
117, no. 16. American Physical Society, 2016.
ista: Serbyn M, Michailidis A, Abanin D, Papić Z. 2016. Power-law entanglement spectrum
in many-body localized phases. Physical Review Letters. 117(16).
mla: Serbyn, Maksym, et al. “Power-Law Entanglement Spectrum in Many-Body Localized
Phases.” Physical Review Letters, vol. 117, no. 16, American Physical Society,
2016, doi:10.1103/PhysRevLett.117.160601.
short: M. Serbyn, A. Michailidis, D. Abanin, Z. Papić, Physical Review Letters 117
(2016).
date_created: 2018-12-11T11:49:32Z
date_published: 2016-10-16T00:00:00Z
date_updated: 2021-01-12T08:22:25Z
day: '16'
doi: 10.1103/PhysRevLett.117.160601
extern: 1
intvolume: ' 117'
issue: '16'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1605.05737
month: '10'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '6414'
quality_controlled: 0
status: public
title: Power-law entanglement spectrum in many-body localized phases
type: journal_article
volume: 117
year: '2016'
...