Entanglement and parametric resonance in driven quantum systems

Entanglement and parametric resonance in driven quantum systems

We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from which we study the entanglement dynamics. In particular, we find that the bipartite entanglement increases in time up to a maximal mixing scenario, when the set of auxiliary dynamical parameters are under parametric resonance. Moreover, we obtain a closed relationship between the correlations in the ground state, the localisation of the Wigner function in phase space, and the localisation of the wave function of the total system.

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Main Authors: Bastidas, Víctor Manuel, Reina Estupiñán, John Henry, Emary, C., Brandes, Tobias
Format: Artículo científico biblioteca
Language:eng
Published: 2010-01
Subjects:Fluorescencia, Propiedades químicas, Química cuántica, Química física, Números cuánticos, Electrónica molecular,
Online Access:https://repositorio.minciencias.gov.co/handle/20.500.14143/21666
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spelling dig-minciencias-co-20.500.14143-216662023-11-29T12:30:50Z Entanglement and parametric resonance in driven quantum systems Bastidas, Víctor Manuel Reina Estupiñán, John Henry Emary, C. Brandes, Tobias Fluorescencia Propiedades químicas Química cuántica Química física Números cuánticos Electrónica molecular We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from which we study the entanglement dynamics. In particular, we find that the bipartite entanglement increases in time up to a maximal mixing scenario, when the set of auxiliary dynamical parameters are under parametric resonance. Moreover, we obtain a closed relationship between the correlations in the ground state, the localisation of the Wigner function in phase space, and the localisation of the wave function of the total system. Departamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colciencias 1106-452-21296 Control cuántico de las propiedades electrónicas y de espín en nanoestructuras inorgánicas, orgánicas y biológicas no 2018-08-06T17:51:08Z 2018-08-06T17:51:08Z 2010-01 info:eu-repo/date/embargoEnd/2024-01-31 Artículo científico info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article https://repositorio.minciencias.gov.co/handle/20.500.14143/21666 10.1103/81.012316 eng Control cuántico de las propiedades electrónicas y de espín en nanoestructuras inorgánicas, orgánicas y biológicas. La publicación completa está disponible en : <a href="http://repositorio.colciencias.gov.co:80/handle/11146/18424" target="blank">http://repositorio.colciencias.gov.co:80/handle/11146/18424</a> info:eu-repo/semantics/embargoedAccess pdf 10 páginas application/pdf PHYSICAL REVIEW A Vol. 81,(2010) pp. 1-10 Contiene 4 referencias bibliográficas. Véase el documento adjunto
institution MINCIENCIAS CO
collection DSpace
country Colombia
countrycode CO
component Bibliográfico
access En linea
databasecode dig-minciencias-co
tag biblioteca
region America del Sur
libraryname Centro de Documentación y Biblioteca de MINCIENCIAS de Colombia
language eng
topic Fluorescencia
Propiedades químicas
Química cuántica
Química física
Números cuánticos
Electrónica molecular
Fluorescencia
Propiedades químicas
Química cuántica
Química física
Números cuánticos
Electrónica molecular
spellingShingle Fluorescencia
Propiedades químicas
Química cuántica
Química física
Números cuánticos
Electrónica molecular
Fluorescencia
Propiedades químicas
Química cuántica
Química física
Números cuánticos
Electrónica molecular
Bastidas, Víctor Manuel
Reina Estupiñán, John Henry
Emary, C.
Brandes, Tobias
Entanglement and parametric resonance in driven quantum systems
description We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from which we study the entanglement dynamics. In particular, we find that the bipartite entanglement increases in time up to a maximal mixing scenario, when the set of auxiliary dynamical parameters are under parametric resonance. Moreover, we obtain a closed relationship between the correlations in the ground state, the localisation of the Wigner function in phase space, and the localisation of the wave function of the total system.
format Artículo científico
topic_facet Fluorescencia
Propiedades químicas
Química cuántica
Química física
Números cuánticos
Electrónica molecular
author Bastidas, Víctor Manuel
Reina Estupiñán, John Henry
Emary, C.
Brandes, Tobias
author_facet Bastidas, Víctor Manuel
Reina Estupiñán, John Henry
Emary, C.
Brandes, Tobias
author_sort Bastidas, Víctor Manuel
title Entanglement and parametric resonance in driven quantum systems
title_short Entanglement and parametric resonance in driven quantum systems
title_full Entanglement and parametric resonance in driven quantum systems
title_fullStr Entanglement and parametric resonance in driven quantum systems
title_full_unstemmed Entanglement and parametric resonance in driven quantum systems
title_sort entanglement and parametric resonance in driven quantum systems
publishDate 2010-01
url https://repositorio.minciencias.gov.co/handle/20.500.14143/21666
work_keys_str_mv AT bastidasvictormanuel entanglementandparametricresonanceindrivenquantumsystems
AT reinaestupinanjohnhenry entanglementandparametricresonanceindrivenquantumsystems
AT emaryc entanglementandparametricresonanceindrivenquantumsystems
AT brandestobias entanglementandparametricresonanceindrivenquantumsystems
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