Quantum brownian motion

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We solve exactly the eigenvalue problem and obtain the temporal evolution of the dynamical variables of interest. We show how the subsystem goes to equilibri...

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Autores principales: Gaioli, Fabián Horacio, Garcia Alvarez, Edgardo, Guevara, Alejandro Javier
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2167_Gaioli
http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2167_Gaioli
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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_00207748_v36_n11_p2167_Gaioli2023-06-08T14:41:48Z Quantum brownian motion Gaioli, Fabián Horacio Garcia Alvarez, Edgardo Guevara, Alejandro Javier We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We solve exactly the eigenvalue problem and obtain the temporal evolution of the dynamical variables of interest. We show how the subsystem goes to equilibrium and give quantitative estimates of the Poincaré recurrence times. We study the behavior of the subsystem mean occupation number in the limit of a dense bath and compare it with the expected exponential decay law. Fil:Gaioli, F.H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Garcia-Alvarez, E.T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guevara, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2167_Gaioli http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2167_Gaioli
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 study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We solve exactly the eigenvalue problem and obtain the temporal evolution of the dynamical variables of interest. We show how the subsystem goes to equilibrium and give quantitative estimates of the Poincaré recurrence times. We study the behavior of the subsystem mean occupation number in the limit of a dense bath and compare it with the expected exponential decay law.
author Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Guevara, Alejandro Javier
spellingShingle Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Guevara, Alejandro Javier
Quantum brownian motion
author_facet Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Guevara, Alejandro Javier
author_sort Gaioli, Fabián Horacio
title Quantum brownian motion
title_short Quantum brownian motion
title_full Quantum brownian motion
title_fullStr Quantum brownian motion
title_full_unstemmed Quantum brownian motion
title_sort quantum brownian motion
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2167_Gaioli
http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2167_Gaioli
work_keys_str_mv AT gaiolifabianhoracio quantumbrownianmotion
AT garciaalvarezedgardo quantumbrownianmotion
AT guevaraalejandrojavier quantumbrownianmotion
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