Stochastic description for open quantum systems
- Autores
- Calzetta, Esteban Adolfo; Roura, Albert; Verdaguer, Enric
- Año de publicación
- 2003
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A linear quantum Brownian motion model with a general spectral density function is considered. In the framework of the influence functional formalism, a Langevin equation can be introduced to describe the system's fully quantum properties even beyond the semiclassical regime. In particular, we show that the reduced Wigner function for the system can be formally written as a double average over both the initial conditions and the stochastic source of the Langevin equation. This is exploited to provide a derivation of the master equation for the reduced density matrix alternative to those existing in the literature. Furthermore, we prove that all the correlation functions obtained in the context of the stochastic description associated to the Langevin equation actually correspond to quantum correlation functions for system observables. In doing so, we also compute the closed time path generating functional of the open system. © 2002 Elsevier Science B.V. All rights reserved.
Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Roura, Albert. Universidad de Barcelona; España
Fil: Verdaguer, Enric. Universidad de Barcelona; España - Materia
-
Langevin Equation
Open Quantum Systems
Quantum Brownian Motion - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/75502
Ver los metadatos del registro completo
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Stochastic description for open quantum systemsCalzetta, Esteban AdolfoRoura, AlbertVerdaguer, EnricLangevin EquationOpen Quantum SystemsQuantum Brownian Motionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A linear quantum Brownian motion model with a general spectral density function is considered. In the framework of the influence functional formalism, a Langevin equation can be introduced to describe the system's fully quantum properties even beyond the semiclassical regime. In particular, we show that the reduced Wigner function for the system can be formally written as a double average over both the initial conditions and the stochastic source of the Langevin equation. This is exploited to provide a derivation of the master equation for the reduced density matrix alternative to those existing in the literature. Furthermore, we prove that all the correlation functions obtained in the context of the stochastic description associated to the Langevin equation actually correspond to quantum correlation functions for system observables. In doing so, we also compute the closed time path generating functional of the open system. © 2002 Elsevier Science B.V. All rights reserved.Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Roura, Albert. Universidad de Barcelona; EspañaFil: Verdaguer, Enric. Universidad de Barcelona; EspañaElsevier Science2003-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75502Calzetta, Esteban Adolfo; Roura, Albert; Verdaguer, Enric; Stochastic description for open quantum systems; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 319; 12-2003; 188-2120378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0378-4371(02)01521-2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:28Zoai:ri.conicet.gov.ar:11336/75502instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:28:28.628CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Stochastic description for open quantum systems |
title |
Stochastic description for open quantum systems |
spellingShingle |
Stochastic description for open quantum systems Calzetta, Esteban Adolfo Langevin Equation Open Quantum Systems Quantum Brownian Motion |
title_short |
Stochastic description for open quantum systems |
title_full |
Stochastic description for open quantum systems |
title_fullStr |
Stochastic description for open quantum systems |
title_full_unstemmed |
Stochastic description for open quantum systems |
title_sort |
Stochastic description for open quantum systems |
dc.creator.none.fl_str_mv |
Calzetta, Esteban Adolfo Roura, Albert Verdaguer, Enric |
author |
Calzetta, Esteban Adolfo |
author_facet |
Calzetta, Esteban Adolfo Roura, Albert Verdaguer, Enric |
author_role |
author |
author2 |
Roura, Albert Verdaguer, Enric |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Langevin Equation Open Quantum Systems Quantum Brownian Motion |
topic |
Langevin Equation Open Quantum Systems Quantum Brownian Motion |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
A linear quantum Brownian motion model with a general spectral density function is considered. In the framework of the influence functional formalism, a Langevin equation can be introduced to describe the system's fully quantum properties even beyond the semiclassical regime. In particular, we show that the reduced Wigner function for the system can be formally written as a double average over both the initial conditions and the stochastic source of the Langevin equation. This is exploited to provide a derivation of the master equation for the reduced density matrix alternative to those existing in the literature. Furthermore, we prove that all the correlation functions obtained in the context of the stochastic description associated to the Langevin equation actually correspond to quantum correlation functions for system observables. In doing so, we also compute the closed time path generating functional of the open system. © 2002 Elsevier Science B.V. All rights reserved. Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina Fil: Roura, Albert. Universidad de Barcelona; España Fil: Verdaguer, Enric. Universidad de Barcelona; España |
description |
A linear quantum Brownian motion model with a general spectral density function is considered. In the framework of the influence functional formalism, a Langevin equation can be introduced to describe the system's fully quantum properties even beyond the semiclassical regime. In particular, we show that the reduced Wigner function for the system can be formally written as a double average over both the initial conditions and the stochastic source of the Langevin equation. This is exploited to provide a derivation of the master equation for the reduced density matrix alternative to those existing in the literature. Furthermore, we prove that all the correlation functions obtained in the context of the stochastic description associated to the Langevin equation actually correspond to quantum correlation functions for system observables. In doing so, we also compute the closed time path generating functional of the open system. © 2002 Elsevier Science B.V. All rights reserved. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-12 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 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://hdl.handle.net/11336/75502 Calzetta, Esteban Adolfo; Roura, Albert; Verdaguer, Enric; Stochastic description for open quantum systems; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 319; 12-2003; 188-212 0378-4371 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/75502 |
identifier_str_mv |
Calzetta, Esteban Adolfo; Roura, Albert; Verdaguer, Enric; Stochastic description for open quantum systems; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 319; 12-2003; 188-212 0378-4371 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0378-4371(02)01521-2 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844614288580280320 |
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13.070432 |