Master equation for quantum brownian motion derived by stochastic methods

The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution o...

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Publicado: 2001
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v40_n12_p2317_Calzetta
http://hdl.handle.net/20.500.12110/paper_00207748_v40_n12_p2317_Calzetta
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00207748_v40_n12_p2317_Calzetta
record_format dspace
spelling paper:paper_00207748_v40_n12_p2317_Calzetta2023-06-08T14:41:52Z Master equation for quantum brownian motion derived by stochastic methods The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution of the Wigner function for a linear closed quantum system. We first show by using the influence functional formalism that the reduced Wigner function for the open system coincides with a distribution function resulting from averaging both over the initial conditions and the stochastic source of a formal Langevin equation. The master equation for the reduced Wigner function can then be deduced as a Fokker-Planck equation obtained from the formal Langevin equation. © 2001 Plenum Publishing Corporation. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v40_n12_p2317_Calzetta http://hdl.handle.net/20.500.12110/paper_00207748_v40_n12_p2317_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution of the Wigner function for a linear closed quantum system. We first show by using the influence functional formalism that the reduced Wigner function for the open system coincides with a distribution function resulting from averaging both over the initial conditions and the stochastic source of a formal Langevin equation. The master equation for the reduced Wigner function can then be deduced as a Fokker-Planck equation obtained from the formal Langevin equation. © 2001 Plenum Publishing Corporation.
title Master equation for quantum brownian motion derived by stochastic methods
spellingShingle Master equation for quantum brownian motion derived by stochastic methods
title_short Master equation for quantum brownian motion derived by stochastic methods
title_full Master equation for quantum brownian motion derived by stochastic methods
title_fullStr Master equation for quantum brownian motion derived by stochastic methods
title_full_unstemmed Master equation for quantum brownian motion derived by stochastic methods
title_sort master equation for quantum brownian motion derived by stochastic methods
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v40_n12_p2317_Calzetta
http://hdl.handle.net/20.500.12110/paper_00207748_v40_n12_p2317_Calzetta
_version_ 1768544716015534080

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