Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy

Using the diagonal entropy, we analyze the dynamical signatures of the Lipkin-Meshkov-Glick (LMG) model excited-state quantum phase transition (ESQPT). We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of an ESQPT. We also compute the pro...

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Detalles Bibliográficos
Autores: Wang, Qian, Pérez Bernal, Francisco
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/19853
Acceso en línea:http://hdl.handle.net/10272/19853
Access Level:acceso abierto
Palabra clave:Lipkin-Meshkov-Glick model
Excited state quantum phase
Diagonal entropy
Dynamical and statistical properties
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spelling Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropyWang, QianPérez Bernal, FranciscoLipkin-Meshkov-Glick modelExcited state quantum phaseDiagonal entropyDynamical and statistical propertiesUsing the diagonal entropy, we analyze the dynamical signatures of the Lipkin-Meshkov-Glick (LMG) model excited-state quantum phase transition (ESQPT). We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of an ESQPT. We also compute the probability distribution of the diagonal entropy values over a certain time interval and we find that the resulting distribution provides a clear distinction between the different phases of ESQPT. Moreover, we observe that the probability distribution of the diagonal entropy at the ESQPT critical point has a universal form, well described by a beta distribution, and that a reliable detection of the ESQPT can be obtained from the diagonal entropy central moments. American Physical Society20212021-03-0120212021-03-01journal articlehttp://purl.org/coar/resource_type/c_6501SMURhttp://purl.org/coar/version/c_71e4c1898caa6e32info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10272/19853reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelvainstname:Universidad de Huelva (UHU)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:ariasmontano.uhu.es:10272/198532026-06-02T14:58:11Z
dc.title.none.fl_str_mv Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
title Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
spellingShingle Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
Wang, Qian
Lipkin-Meshkov-Glick model
Excited state quantum phase
Diagonal entropy
Dynamical and statistical properties
title_short Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
title_full Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
title_fullStr Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
title_full_unstemmed Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
title_sort Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy
dc.creator.none.fl_str_mv Wang, Qian
Pérez Bernal, Francisco
author Wang, Qian
author_facet Wang, Qian
Pérez Bernal, Francisco
author_role author
author2 Pérez Bernal, Francisco
author2_role author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Lipkin-Meshkov-Glick model
Excited state quantum phase
Diagonal entropy
Dynamical and statistical properties
topic Lipkin-Meshkov-Glick model
Excited state quantum phase
Diagonal entropy
Dynamical and statistical properties
description Using the diagonal entropy, we analyze the dynamical signatures of the Lipkin-Meshkov-Glick (LMG) model excited-state quantum phase transition (ESQPT). We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of an ESQPT. We also compute the probability distribution of the diagonal entropy values over a certain time interval and we find that the resulting distribution provides a clear distinction between the different phases of ESQPT. Moreover, we observe that the probability distribution of the diagonal entropy at the ESQPT critical point has a universal form, well described by a beta distribution, and that a reliable detection of the ESQPT can be obtained from the diagonal entropy central moments.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-03-01
2021
2021-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
SMUR
http://purl.org/coar/version/c_71e4c1898caa6e32
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10272/19853
url http://hdl.handle.net/10272/19853
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelva
instname:Universidad de Huelva (UHU)
instname_str Universidad de Huelva (UHU)
reponame_str Arias Montano. Repositorio Institucional de la Universidad de Huelva
collection Arias Montano. Repositorio Institucional de la Universidad de Huelva
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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