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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Formato: | Articulo |
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2015
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/126103 |
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I19-R120-10915-126103 |
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institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
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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 |
_version_ |
1764820450104311810 |