Momentum-space entanglement after smooth quenches
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1140/epjc/s10052-019-6581-2 http://hdl.handle.net/11449/188650 |
Resumo: | We compute the total amount of entanglement produced between momentum modes at late times after a smooth mass quench in free bosonic and fermionic quantum field theories. The entanglement and Rényi entropies are obtained in closed form as a function of the parameters characterizing the quench protocol. For bosons, we show that the entanglement production is more significant for light modes and for fast quenches. In particular, infinitely slow or adiabatic quenches do not produce any entanglement. Depending on the quench profile, the decrease as a function of the quench rate δt can be either monotonic or oscillating. In the fermionic case the situation is more subtle and there is a critical value for the quench amplitude above which this behavior is changed and the entropies become peaked at intermediate values of momentum and of the quench rate. We also show that the results agree with the predictions of a Generalized Gibbs Ensemble and obtain explicitly its parameters in terms of the quench data. |
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Repositório Institucional da UNESP |
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Momentum-space entanglement after smooth quenchesWe compute the total amount of entanglement produced between momentum modes at late times after a smooth mass quench in free bosonic and fermionic quantum field theories. The entanglement and Rényi entropies are obtained in closed form as a function of the parameters characterizing the quench protocol. For bosons, we show that the entanglement production is more significant for light modes and for fast quenches. In particular, infinitely slow or adiabatic quenches do not produce any entanglement. Depending on the quench profile, the decrease as a function of the quench rate δt can be either monotonic or oscillating. In the fermionic case the situation is more subtle and there is a critical value for the quench amplitude above which this behavior is changed and the entropies become peaked at intermediate values of momentum and of the quench rate. We also show that the results agree with the predictions of a Generalized Gibbs Ensemble and obtain explicitly its parameters in terms of the quench data.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Institute for Theoretical Physics (IFT) São Paulo State University (UNESP), R. Dr. Bento T. Ferraz 271, Bl. IICenter for Quantum Mathematics and Physics Department of Physics University of CaliforniaInternational Institute of Physics Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa NovaInstitute for Theoretical Physics (IFT) São Paulo State University (UNESP), R. Dr. Bento T. Ferraz 271, Bl. IICNPq: 146086/2015-5Universidade Estadual Paulista (Unesp)University of CaliforniaUniversidade Federal do Rio Grande do NorteAlves, Daniel W. F. [UNESP]Camilo, Giancarlo2019-10-06T16:14:53Z2019-10-06T16:14:53Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1140/epjc/s10052-019-6581-2European Physical Journal C, v. 79, n. 1, 2019.1434-60521434-6044http://hdl.handle.net/11449/18865010.1140/epjc/s10052-019-6581-22-s2.0-85060337155Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal Cinfo:eu-repo/semantics/openAccess2021-10-22T21:16:15Zoai:repositorio.unesp.br:11449/188650Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:17:53.287749Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Momentum-space entanglement after smooth quenches |
title |
Momentum-space entanglement after smooth quenches |
spellingShingle |
Momentum-space entanglement after smooth quenches Alves, Daniel W. F. [UNESP] |
title_short |
Momentum-space entanglement after smooth quenches |
title_full |
Momentum-space entanglement after smooth quenches |
title_fullStr |
Momentum-space entanglement after smooth quenches |
title_full_unstemmed |
Momentum-space entanglement after smooth quenches |
title_sort |
Momentum-space entanglement after smooth quenches |
author |
Alves, Daniel W. F. [UNESP] |
author_facet |
Alves, Daniel W. F. [UNESP] Camilo, Giancarlo |
author_role |
author |
author2 |
Camilo, Giancarlo |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of California Universidade Federal do Rio Grande do Norte |
dc.contributor.author.fl_str_mv |
Alves, Daniel W. F. [UNESP] Camilo, Giancarlo |
description |
We compute the total amount of entanglement produced between momentum modes at late times after a smooth mass quench in free bosonic and fermionic quantum field theories. The entanglement and Rényi entropies are obtained in closed form as a function of the parameters characterizing the quench protocol. For bosons, we show that the entanglement production is more significant for light modes and for fast quenches. In particular, infinitely slow or adiabatic quenches do not produce any entanglement. Depending on the quench profile, the decrease as a function of the quench rate δt can be either monotonic or oscillating. In the fermionic case the situation is more subtle and there is a critical value for the quench amplitude above which this behavior is changed and the entropies become peaked at intermediate values of momentum and of the quench rate. We also show that the results agree with the predictions of a Generalized Gibbs Ensemble and obtain explicitly its parameters in terms of the quench data. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:14:53Z 2019-10-06T16:14:53Z 2019-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1140/epjc/s10052-019-6581-2 European Physical Journal C, v. 79, n. 1, 2019. 1434-6052 1434-6044 http://hdl.handle.net/11449/188650 10.1140/epjc/s10052-019-6581-2 2-s2.0-85060337155 |
url |
http://dx.doi.org/10.1140/epjc/s10052-019-6581-2 http://hdl.handle.net/11449/188650 |
identifier_str_mv |
European Physical Journal C, v. 79, n. 1, 2019. 1434-6052 1434-6044 10.1140/epjc/s10052-019-6581-2 2-s2.0-85060337155 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal C |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128787087360000 |