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

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 paramete...

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Autores principales: Bortolin, Tomás Sebastián, Iucci, Carlos Aníbal
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126103
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id I19-R120-10915-126103
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
spellingShingle Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
Bortolin, Tomás Sebastián
Iucci, Carlos Aníbal
Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
topic_facet Física
Quantum entanglement
Physics
Thermodynamic equilibrium
Fluctuation-dissipation theorem
Constant (mathematics)
Canonical ensemble
Thermal equilibrium
Observable
Quantum mechanics
Quantum phase transition
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.
format Articulo
Articulo
author Bortolin, Tomás Sebastián
Iucci, Carlos Aníbal
author_facet Bortolin, Tomás Sebastián
Iucci, Carlos Aníbal
author_sort Bortolin, Tomás Sebastián
title Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
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
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/126103
work_keys_str_mv AT bortolintomassebastian effectivetemperaturefromfluctuationdissipationtheoreminsystemswithbipartiteeigenmodeentanglement
AT iuccicarlosanibal effectivetemperaturefromfluctuationdissipationtheoreminsystemswithbipartiteeigenmodeentanglement
bdutipo_str Repositorios
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