Stochastic description for open quantum systems

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...

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Autores principales:	Calzetta, E., Roura, A., Verdaguer, E.
Formato:	JOUR
Materias:	Langevin equation Open quantum systems Quantum Brownian motion Correlation methods Initial value problems Matrix algebra Probability density function Quantum theory Random processes Spectral density functions Brownian movement
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03784371_v319_n_p188_Calzetta
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_03784371_v319_n_p188_Calzetta
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spelling	todo:paper_03784371_v319_n_p188_Calzetta2023-10-03T15:32:38Z Stochastic description for open quantum systems Calzetta, E. Roura, A. Verdaguer, E. Langevin equation Open quantum systems Quantum Brownian motion Correlation methods Initial value problems Matrix algebra Probability density function Quantum theory Random processes Spectral density functions Brownian movement 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v319_n_p188_Calzetta
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Langevin equation Open quantum systems Quantum Brownian motion Correlation methods Initial value problems Matrix algebra Probability density function Quantum theory Random processes Spectral density functions Brownian movement
spellingShingle	Langevin equation Open quantum systems Quantum Brownian motion Correlation methods Initial value problems Matrix algebra Probability density function Quantum theory Random processes Spectral density functions Brownian movement Calzetta, E. Roura, A. Verdaguer, E. Stochastic description for open quantum systems
topic_facet	Langevin equation Open quantum systems Quantum Brownian motion Correlation methods Initial value problems Matrix algebra Probability density function Quantum theory Random processes Spectral density functions Brownian movement
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.
format	JOUR
author	Calzetta, E. Roura, A. Verdaguer, E.
author_facet	Calzetta, E. Roura, A. Verdaguer, E.
author_sort	Calzetta, E.
title	Stochastic description for open quantum systems
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
url	http://hdl.handle.net/20.500.12110/paper_03784371_v319_n_p188_Calzetta
work_keys_str_mv	AT calzettae stochasticdescriptionforopenquantumsystems AT rouraa stochasticdescriptionforopenquantumsystems AT verdaguere stochasticdescriptionforopenquantumsystems
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Stochastic description for open quantum systems

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