---
_id: '13277'
abstract:
- lang: eng
text: Recent experimental advances have inspired the development of theoretical
tools to describe the non-equilibrium dynamics of quantum systems. Among them
an exact representation of quantum spin systems in terms of classical stochastic
processes has been proposed. Here we provide first steps towards the extension
of this stochastic approach to bosonic systems by considering the one-dimensional
quantum quartic oscillator. We show how to exactly parameterize the time evolution
of this prototypical model via the dynamics of a set of classical variables. We
interpret these variables as stochastic processes, which allows us to propose
a novel way to numerically simulate the time evolution of the system. We benchmark
our findings by considering analytically solvable limits and providing alternative
derivations of known results.
acknowledgement: 'S. De Nicola acknowledges funding from the Institute of Science
and Technology Austria (ISTA), and from the European Union’s Horizon 2020 research
and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411.
S. De Nicola also acknowledges funding from the EPSRC Center for Doctoral Training
in Cross-Disciplinary Approaches to NonEquilibrium Systems (CANES) under Grant EP/L015854/1. '
article_number: '029'
article_processing_charge: No
article_type: original
author:
- first_name: Gennaro
full_name: Tucci, Gennaro
last_name: Tucci
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: Sascha
full_name: Wald, Sascha
last_name: Wald
- first_name: Andrea
full_name: Gambassi, Andrea
last_name: Gambassi
citation:
ama: Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the
quantum quartic oscillator. SciPost Physics Core. 2023;6(2). doi:10.21468/scipostphyscore.6.2.029
apa: Tucci, G., De Nicola, S., Wald, S., & Gambassi, A. (2023). Stochastic representation
of the quantum quartic oscillator. SciPost Physics Core. SciPost Foundation.
https://doi.org/10.21468/scipostphyscore.6.2.029
chicago: Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic
Representation of the Quantum Quartic Oscillator.” SciPost Physics Core.
SciPost Foundation, 2023. https://doi.org/10.21468/scipostphyscore.6.2.029.
ieee: G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation
of the quantum quartic oscillator,” SciPost Physics Core, vol. 6, no. 2.
SciPost Foundation, 2023.
ista: Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation
of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029.
mla: Tucci, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.”
SciPost Physics Core, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:10.21468/scipostphyscore.6.2.029.
short: G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023).
date_created: 2023-07-24T10:47:46Z
date_published: 2023-04-14T00:00:00Z
date_updated: 2023-07-31T09:03:28Z
day: '14'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphyscore.6.2.029
ec_funded: 1
external_id:
arxiv:
- '2211.01923'
file:
- access_level: open_access
checksum: b472bc82108747eda5d52adf9e2ac7f3
content_type: application/pdf
creator: dernst
date_created: 2023-07-31T09:02:27Z
date_updated: 2023-07-31T09:02:27Z
file_id: '13329'
file_name: 2023_SciPostPhysCore_Tucci.pdf
file_size: 523236
relation: main_file
success: 1
file_date_updated: 2023-07-31T09:02:27Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '2'
keyword:
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics
- and Optics
- Nuclear and High Energy Physics
- Condensed Matter Physics
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics Core
publication_identifier:
issn:
- 2666-9366
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
status: public
title: Stochastic representation of the quantum quartic oscillator
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2023'
...
---
_id: '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
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: '9158'
abstract:
- lang: eng
text: While several tools have been developed to study the ground state of many-body
quantum spin systems, the limitations of existing techniques call for the exploration
of new approaches. In this manuscript we develop an alternative analytical and
numerical framework for many-body quantum spin ground states, based on the disentanglement
formalism. In this approach, observables are exactly expressed as Gaussian-weighted
functional integrals over scalar fields. We identify the leading contribution
to these integrals, given by the saddle point of a suitable effective action.
Analytically, we develop a field-theoretical expansion of the functional integrals,
performed by means of appropriate Feynman rules. The expansion can be truncated
to a desired order to obtain analytical approximations to observables. Numerically,
we show that the disentanglement approach can be used to compute ground state
expectation values from classical stochastic processes. While the associated fluctuations
grow exponentially with imaginary time and the system size, this growth can be
mitigated by means of an importance sampling scheme based on knowledge of the
saddle point configuration. We illustrate the advantages and limitations of our
methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions.
Our analytical and numerical approaches are applicable to a broad class of systems,
bridging concepts from quantum lattice models, continuum field theory, and classical
stochastic processes.
acknowledgement: "S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev,
A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating
conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology
(IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation
program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N
also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary
Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D
N is grateful to IST\r\nAustria for providing open access funding."
article_number: '013101'
article_processing_charge: No
article_type: original
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
citation:
ama: 'De Nicola S. Disentanglement approach to quantum spin ground states: Field
theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. 2021;2021(1). doi:10.1088/1742-5468/abc7c7'
apa: 'De Nicola, S. (2021). Disentanglement approach to quantum spin ground states:
Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/abc7c7'
chicago: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing, 2021. https://doi.org/10.1088/1742-5468/abc7c7.'
ieee: 'S. De Nicola, “Disentanglement approach to quantum spin ground states: Field
theory and stochastic simulation,” Journal of Statistical Mechanics: Theory
and Experiment, vol. 2021, no. 1. IOP Publishing, 2021.'
ista: 'De Nicola S. 2021. Disentanglement approach to quantum spin ground states:
Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. 2021(1), 013101.'
mla: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:10.1088/1742-5468/abc7c7.'
short: 'S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021
(2021).'
date_created: 2021-02-17T17:48:46Z
date_published: 2021-01-05T00:00:00Z
date_updated: 2023-08-07T13:46:28Z
day: '05'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1088/1742-5468/abc7c7
ec_funded: 1
external_id:
isi:
- '000605080300001'
file:
- access_level: open_access
checksum: 64e2aae4837790db26e1dd1986c69c07
content_type: application/pdf
creator: dernst
date_created: 2021-02-19T14:04:40Z
date_updated: 2021-02-19T14:04:40Z
file_id: '9172'
file_name: 2021_JourStatMech_deNicola.pdf
file_size: 1693609
relation: main_file
success: 1
file_date_updated: 2021-02-19T14:04:40Z
has_accepted_license: '1'
intvolume: ' 2021'
isi: 1
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
issn:
- 1742-5468
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: 'Disentanglement approach to quantum spin ground states: Field theory and stochastic
simulation'
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: 2021
year: '2021'
...
---
_id: '9981'
abstract:
- lang: eng
text: "The numerical simulation of dynamical phenomena in interacting quantum systems
is a notoriously hard problem. Although a number of promising numerical methods
exist, they often have limited applicability due to the growth of entanglement
or the presence of the so-called sign problem. In this work, we develop an importance
sampling scheme for the simulation of quantum spin dynamics, building on a recent
approach mapping quantum spin systems to classical stochastic processes. The importance
sampling scheme is based on identifying the classical trajectory that yields the
largest contribution to a given quantum observable. An exact transformation is
then carried out to preferentially sample trajectories that are close to the dominant
one. We demonstrate that this approach is capable of reducing the temporal growth
of fluctuations in the stochastic quantities, thus extending the range of accessible
times and system sizes compared to direct sampling. We discuss advantages and
limitations of the proposed approach, outlining directions\r\nfor further developments."
article_number: '048'
article_processing_charge: No
article_type: original
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
citation:
ama: De Nicola S. Importance sampling scheme for the stochastic simulation of quantum
spin dynamics. SciPost Physics. 2021;11(3). doi:10.21468/scipostphys.11.3.048
apa: De Nicola, S. (2021). Importance sampling scheme for the stochastic simulation
of quantum spin dynamics. SciPost Physics. SciPost. https://doi.org/10.21468/scipostphys.11.3.048
chicago: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
of Quantum Spin Dynamics.” SciPost Physics. SciPost, 2021. https://doi.org/10.21468/scipostphys.11.3.048.
ieee: S. De Nicola, “Importance sampling scheme for the stochastic simulation of
quantum spin dynamics,” SciPost Physics, vol. 11, no. 3. SciPost, 2021.
ista: De Nicola S. 2021. Importance sampling scheme for the stochastic simulation
of quantum spin dynamics. SciPost Physics. 11(3), 048.
mla: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
of Quantum Spin Dynamics.” SciPost Physics, vol. 11, no. 3, 048, SciPost,
2021, doi:10.21468/scipostphys.11.3.048.
short: S. De Nicola, SciPost Physics 11 (2021).
date_created: 2021-09-02T11:49:47Z
date_published: 2021-09-02T00:00:00Z
date_updated: 2023-08-11T10:59:29Z
day: '02'
ddc:
- '519'
department:
- _id: MaSe
doi: 10.21468/scipostphys.11.3.048
ec_funded: 1
external_id:
arxiv:
- '2103.16468'
isi:
- '000692534200001'
file:
- access_level: open_access
checksum: e4ec69d893e31811efc6093cb6ea8eb7
content_type: application/pdf
creator: cchlebak
date_created: 2021-09-02T14:05:43Z
date_updated: 2021-09-02T14:05:43Z
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file_name: 2021_SciPostPhys_DeNicola.pdf
file_size: 373833
relation: main_file
success: 1
file_date_updated: 2021-09-02T14:05:43Z
has_accepted_license: '1'
intvolume: ' 11'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics
publication_identifier:
eissn:
- 2666-9366
issn:
- 2542-4653
publication_status: published
publisher: SciPost
quality_controlled: '1'
status: public
title: Importance sampling scheme for the stochastic simulation of quantum spin dynamics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2021'
...
---
_id: '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
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: '7638'
abstract:
- lang: eng
text: Following on from our recent work, we investigate a stochastic approach to
non-equilibrium quantum spin systems. We show how the method can be applied to
a variety of physical observables and for different initial conditions. We provide
exact formulae of broad applicability for the time-dependence of expectation values
and correlation functions following a quantum quench in terms of averages over
classical stochastic processes. We further explore the behavior of the classical
stochastic variables in the presence of dynamical quantum phase transitions, including
results for their distributions and correlation functions. We provide details
on the numerical solution of the associated stochastic differential equations,
and examine the growth of fluctuations in the classical description. We discuss
the strengths and limitations of the current implementation of the stochastic
approach and the potential for further development.
article_number: '013106'
article_processing_charge: No
article_type: original
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
- first_name: B.
full_name: Doyon, B.
last_name: Doyon
- first_name: M. J.
full_name: Bhaseen, M. J.
last_name: Bhaseen
citation:
ama: 'De Nicola S, Doyon B, Bhaseen MJ. Non-equilibrium quantum spin dynamics from
classical stochastic processes. Journal of Statistical Mechanics: Theory and
Experiment. 2020;2020(1). doi:10.1088/1742-5468/ab6093'
apa: 'De Nicola, S., Doyon, B., & Bhaseen, M. J. (2020). Non-equilibrium quantum
spin dynamics from classical stochastic processes. Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab6093'
chicago: 'De Nicola, Stefano, B. Doyon, and M. J. Bhaseen. “Non-Equilibrium Quantum
Spin Dynamics from Classical Stochastic Processes.” Journal of Statistical
Mechanics: Theory and Experiment. IOP Publishing, 2020. https://doi.org/10.1088/1742-5468/ab6093.'
ieee: 'S. De Nicola, B. Doyon, and M. J. Bhaseen, “Non-equilibrium quantum spin
dynamics from classical stochastic processes,” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2020, no. 1. IOP Publishing, 2020.'
ista: 'De Nicola S, Doyon B, Bhaseen MJ. 2020. Non-equilibrium quantum spin dynamics
from classical stochastic processes. Journal of Statistical Mechanics: Theory
and Experiment. 2020(1), 013106.'
mla: 'De Nicola, Stefano, et al. “Non-Equilibrium Quantum Spin Dynamics from Classical
Stochastic Processes.” Journal of Statistical Mechanics: Theory and Experiment,
vol. 2020, no. 1, 013106, IOP Publishing, 2020, doi:10.1088/1742-5468/ab6093.'
short: 'S. De Nicola, B. Doyon, M.J. Bhaseen, Journal of Statistical Mechanics:
Theory and Experiment 2020 (2020).'
date_created: 2020-04-05T22:00:50Z
date_published: 2020-01-22T00:00:00Z
date_updated: 2023-08-18T10:27:15Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1088/1742-5468/ab6093
ec_funded: 1
external_id:
arxiv:
- '1909.13142'
isi:
- '000520187500001'
file:
- access_level: open_access
checksum: 4030e683c15d30b7b4794ec7dc1b6537
content_type: application/pdf
creator: dernst
date_created: 2020-04-06T13:15:49Z
date_updated: 2020-07-14T12:48:01Z
file_id: '7648'
file_name: 2020_JournStatisticalMech_DeNicola.pdf
file_size: 3159026
relation: main_file
file_date_updated: 2020-07-14T12:48:01Z
has_accepted_license: '1'
intvolume: ' 2020'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
eissn:
- '17425468'
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Non-equilibrium quantum spin dynamics from classical stochastic processes
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...