Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement

Autores
Bortolin, Tomás Sebastián; Iucci, Carlos Aníbal
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature is replaced by an observable and frequency-dependent parameter (effective temperature). When the system achieves a long-time thermal state all of these effective temperatures should be equal and constant. Following this approach we examine the long-times regime after a quantum quench in a system with bipartite entanglement in which the asymptotic values of the observable are compatible with the ones obtained in a Gibbs ensemble. We observe that when the initial entanglement is large, and for a large range of (intermediate) frequencies, the effective temperatures corresponding to the analyzed local and nonlocal operators approach an approximate constant value equal to the temperature that governs the decay of correlations. Still, the residual frequency dependence in the effective temperature, and the differences observed among observables, discards strict thermalization.
Fil: Bortolin, Tomás Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Iucci, Carlos Aníbal. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Integrable systems
Quantum phase transitions
Fermion systems and electron gas
Nonequilibrium and irreversible thermodynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100199
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100199
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglementBortolin, Tomás SebastiánIucci, Carlos AníbalIntegrable systemsQuantum phase transitionsFermion systems and electron gasNonequilibrium and irreversible thermodynamicshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature is replaced by an observable and frequency-dependent parameter (effective temperature). When the system achieves a long-time thermal state all of these effective temperatures should be equal and constant. Following this approach we examine the long-times regime after a quantum quench in a system with bipartite entanglement in which the asymptotic values of the observable are compatible with the ones obtained in a Gibbs ensemble. We observe that when the initial entanglement is large, and for a large range of (intermediate) frequencies, the effective temperatures corresponding to the analyzed local and nonlocal operators approach an approximate constant value equal to the temperature that governs the decay of correlations. Still, the residual frequency dependence in the effective temperature, and the differences observed among observables, discards strict thermalization.Fil: Bortolin, Tomás Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Iucci, Carlos Aníbal. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAmerican Physical Society2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100199Bortolin, Tomás Sebastián; Iucci, Carlos Aníbal; Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 91; 2; 1-2015; 1-91050-29471098-0121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.024301info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.91.024301info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:14:31Zoai:ri.conicet.gov.ar:11336/100199instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:14:31.832CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
title Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
spellingShingle Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
Bortolin, Tomás Sebastián
Integrable systems
Quantum phase transitions
Fermion systems and electron gas
Nonequilibrium and irreversible thermodynamics
title_short Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
title_full Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
title_fullStr Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
title_full_unstemmed Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
title_sort Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
dc.creator.none.fl_str_mv Bortolin, Tomás Sebastián
Iucci, Carlos Aníbal
author Bortolin, Tomás Sebastián
author_facet Bortolin, Tomás Sebastián
Iucci, Carlos Aníbal
author_role author
author2 Iucci, Carlos Aníbal
author2_role author
dc.subject.none.fl_str_mv Integrable systems
Quantum phase transitions
Fermion systems and electron gas
Nonequilibrium and irreversible thermodynamics
topic Integrable systems
Quantum phase transitions
Fermion systems and electron gas
Nonequilibrium and irreversible thermodynamics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature is replaced by an observable and frequency-dependent parameter (effective temperature). When the system achieves a long-time thermal state all of these effective temperatures should be equal and constant. Following this approach we examine the long-times regime after a quantum quench in a system with bipartite entanglement in which the asymptotic values of the observable are compatible with the ones obtained in a Gibbs ensemble. We observe that when the initial entanglement is large, and for a large range of (intermediate) frequencies, the effective temperatures corresponding to the analyzed local and nonlocal operators approach an approximate constant value equal to the temperature that governs the decay of correlations. Still, the residual frequency dependence in the effective temperature, and the differences observed among observables, discards strict thermalization.
Fil: Bortolin, Tomás Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Iucci, Carlos Aníbal. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature is replaced by an observable and frequency-dependent parameter (effective temperature). When the system achieves a long-time thermal state all of these effective temperatures should be equal and constant. Following this approach we examine the long-times regime after a quantum quench in a system with bipartite entanglement in which the asymptotic values of the observable are compatible with the ones obtained in a Gibbs ensemble. We observe that when the initial entanglement is large, and for a large range of (intermediate) frequencies, the effective temperatures corresponding to the analyzed local and nonlocal operators approach an approximate constant value equal to the temperature that governs the decay of correlations. Still, the residual frequency dependence in the effective temperature, and the differences observed among observables, discards strict thermalization.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100199
Bortolin, Tomás Sebastián; Iucci, Carlos Aníbal; Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 91; 2; 1-2015; 1-9
1050-2947
1098-0121
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100199
identifier_str_mv Bortolin, Tomás Sebastián; Iucci, Carlos Aníbal; Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 91; 2; 1-2015; 1-9
1050-2947
1098-0121
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.024301
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.91.024301
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
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:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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