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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/126103
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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 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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