Asymptotic regime of quantal stochastic and dissipative motion

We analyze the irreversible behavior of a quantum harmonic oscillator immersed in an arbitrary thermal reservoir. For the fully coupled (FC) model, i.e., the coupling between subsystems linear in the coordinate of the oscillator, we construct a generalized master equation for the reduced density ope...

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Autor principal: Gatica, Silvina María
Publicado: 1992
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v46_n6_p3234_Despsito
http://hdl.handle.net/20.500.12110/paper_10502947_v46_n6_p3234_Despsito
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_10502947_v46_n6_p3234_Despsito2023-06-08T16:01:36Z Asymptotic regime of quantal stochastic and dissipative motion Gatica, Silvina María We analyze the irreversible behavior of a quantum harmonic oscillator immersed in an arbitrary thermal reservoir. For the fully coupled (FC) model, i.e., the coupling between subsystems linear in the coordinate of the oscillator, we construct a generalized master equation for the reduced density operator of the oscillator. We apply the rotating-wave approximation (RWA) and investigate its connection with the FC master equation. By means of the Wigner distribution, we obtain the corresponding Fokker-Planck equations in the semiclassical representation. We find that, when the RWA is not imposed, the correct classical limit is obtained (Kramers equation). Then, we establish the conditions for the equivalence between the FC Fokker-Planck equation and that obtained in the RWA. Quantum maps for a kicked oscillator immersed in a heat bath are obtained in both cases. These maps are studied in the classical and semiclassical limits, and it is shown that they coincide for low kicking frequency compared to the damping rate. © 1992 The American Physical Society. Fil:Gatica, S.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1992 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v46_n6_p3234_Despsito http://hdl.handle.net/20.500.12110/paper_10502947_v46_n6_p3234_Despsito
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We analyze the irreversible behavior of a quantum harmonic oscillator immersed in an arbitrary thermal reservoir. For the fully coupled (FC) model, i.e., the coupling between subsystems linear in the coordinate of the oscillator, we construct a generalized master equation for the reduced density operator of the oscillator. We apply the rotating-wave approximation (RWA) and investigate its connection with the FC master equation. By means of the Wigner distribution, we obtain the corresponding Fokker-Planck equations in the semiclassical representation. We find that, when the RWA is not imposed, the correct classical limit is obtained (Kramers equation). Then, we establish the conditions for the equivalence between the FC Fokker-Planck equation and that obtained in the RWA. Quantum maps for a kicked oscillator immersed in a heat bath are obtained in both cases. These maps are studied in the classical and semiclassical limits, and it is shown that they coincide for low kicking frequency compared to the damping rate. © 1992 The American Physical Society.
author Gatica, Silvina María
spellingShingle Gatica, Silvina María
Asymptotic regime of quantal stochastic and dissipative motion
author_facet Gatica, Silvina María
author_sort Gatica, Silvina María
title Asymptotic regime of quantal stochastic and dissipative motion
title_short Asymptotic regime of quantal stochastic and dissipative motion
title_full Asymptotic regime of quantal stochastic and dissipative motion
title_fullStr Asymptotic regime of quantal stochastic and dissipative motion
title_full_unstemmed Asymptotic regime of quantal stochastic and dissipative motion
title_sort asymptotic regime of quantal stochastic and dissipative motion
publishDate 1992
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v46_n6_p3234_Despsito
http://hdl.handle.net/20.500.12110/paper_10502947_v46_n6_p3234_Despsito
work_keys_str_mv AT gaticasilvinamaria asymptoticregimeofquantalstochasticanddissipativemotion
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