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.
Instituto de Física La Plata
Materia
Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126103

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spelling Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglementBortolin, Tomás SebastiánIucci, Carlos AníbalFísicaQuantum entanglementPhysicsThermodynamic equilibriumFluctuation-dissipation theoremConstant (mathematics)Canonical ensembleThermal equilibriumObservableQuantum mechanicsQuantum phase transitionIn 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.Instituto de Física La Plata2015-01-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126103enginfo:eu-repo/semantics/altIdentifier/issn/1098-0121info:eu-repo/semantics/altIdentifier/issn/1550-235Xinfo:eu-repo/semantics/altIdentifier/arxiv/1410.0978info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.91.024301info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:14Zoai:sedici.unlp.edu.ar:10915/126103Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:14.352SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
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 Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
topic Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
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.
Instituto de Física La Plata
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 2015-01-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126103
url http://sedici.unlp.edu.ar/handle/10915/126103
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1098-0121
info:eu-repo/semantics/altIdentifier/issn/1550-235X
info:eu-repo/semantics/altIdentifier/arxiv/1410.0978
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.91.024301
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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