Quantum chaos: a decoherent definition

We show that the rate of increase of Von Neumann entropy computed from the reduced density matrix of an open quantum system is an excellent indicator of the dynamical behavior of its classical Hamiltonian counterpart. In decohering quantum analogs of systems which exhibit classical Hamiltonian chaos...

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Autor principal: Paz, Juan Pablo
Publicado: 1995
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v83_n1-3_p300_Zurek
http://hdl.handle.net/20.500.12110/paper_01672789_v83_n1-3_p300_Zurek
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01672789_v83_n1-3_p300_Zurek
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spelling paper:paper_01672789_v83_n1-3_p300_Zurek2023-06-08T15:16:19Z Quantum chaos: a decoherent definition Paz, Juan Pablo We show that the rate of increase of Von Neumann entropy computed from the reduced density matrix of an open quantum system is an excellent indicator of the dynamical behavior of its classical Hamiltonian counterpart. In decohering quantum analogs of systems which exhibit classical Hamiltonian chaos entropy production rate quickly tends to a constant which is given by the sum of the positive Lyapunov exponents, and falls off only as the system approaches equilibrium. By contrast, integrable systems tend to have an entropy production rate which decreases as t-1 well before equilibrium is attained. Thus, behavior of quantum systems in contact with the environment can be used as a test to determine the nature of their Hamiltonian evolution. © 1995. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1995 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v83_n1-3_p300_Zurek http://hdl.handle.net/20.500.12110/paper_01672789_v83_n1-3_p300_Zurek
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 show that the rate of increase of Von Neumann entropy computed from the reduced density matrix of an open quantum system is an excellent indicator of the dynamical behavior of its classical Hamiltonian counterpart. In decohering quantum analogs of systems which exhibit classical Hamiltonian chaos entropy production rate quickly tends to a constant which is given by the sum of the positive Lyapunov exponents, and falls off only as the system approaches equilibrium. By contrast, integrable systems tend to have an entropy production rate which decreases as t-1 well before equilibrium is attained. Thus, behavior of quantum systems in contact with the environment can be used as a test to determine the nature of their Hamiltonian evolution. © 1995.
author Paz, Juan Pablo
spellingShingle Paz, Juan Pablo
Quantum chaos: a decoherent definition
author_facet Paz, Juan Pablo
author_sort Paz, Juan Pablo
title Quantum chaos: a decoherent definition
title_short Quantum chaos: a decoherent definition
title_full Quantum chaos: a decoherent definition
title_fullStr Quantum chaos: a decoherent definition
title_full_unstemmed Quantum chaos: a decoherent definition
title_sort quantum chaos: a decoherent definition
publishDate 1995
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v83_n1-3_p300_Zurek
http://hdl.handle.net/20.500.12110/paper_01672789_v83_n1-3_p300_Zurek
work_keys_str_mv AT pazjuanpablo quantumchaosadecoherentdefinition
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