Irreversibility in quantum maps with decoherence

The Boltzmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE decays with a rate given by the sum of a term depending on t...

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Detalles Bibliográficos
Autores principales:	García-Mata, Ignacio, Wisniacki, Diego A.
Publicado:	2011
Materias:	Decoherence Quantum echoes Quantum maps Behavioral research Decay (organic) Lyapunov methods Quantum theory Boltzmann Decay rate Isolated systems Lyapunov exponent Time-reversed Chaotic systems
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v369_n1935_p278_GarciaMata http://hdl.handle.net/20.500.12110/paper_1364503X_v369_n1935_p278_GarciaMata
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_1364503X_v369_n1935_p278_GarciaMata
record_format	dspace
spelling	paper:paper_1364503X_v369_n1935_p278_GarciaMata2023-06-08T16:11:40Z Irreversibility in quantum maps with decoherence García-Mata, Ignacio Wisniacki, Diego A. Decoherence Quantum echoes Quantum maps Behavioral research Decay (organic) Lyapunov methods Quantum theory Boltzmann Decay rate Decoherence Isolated systems Lyapunov exponent Quantum echoes Quantum maps Time-reversed Chaotic systems The Boltzmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE decays with a rate given by the sum of a term depending on the accuracy with which the system is time reversed and a term depending on the coupling between the system and the environment. In addition, a parameter-independent regime, characterized by the classical Lyapunov exponent, is expected. In this paper, we study the behaviour of the BE in hyperbolic maps that are in contact with different environments. We analyse the emergence of the different regimes and show that the behaviour of the decay rate of the BE is strongly dependent on the type of environment. © 2011 The Royal Society. Fil:García-Mata, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v369_n1935_p278_GarciaMata http://hdl.handle.net/20.500.12110/paper_1364503X_v369_n1935_p278_GarciaMata
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Decoherence Quantum echoes Quantum maps Behavioral research Decay (organic) Lyapunov methods Quantum theory Boltzmann Decay rate Decoherence Isolated systems Lyapunov exponent Quantum echoes Quantum maps Time-reversed Chaotic systems
spellingShingle	Decoherence Quantum echoes Quantum maps Behavioral research Decay (organic) Lyapunov methods Quantum theory Boltzmann Decay rate Decoherence Isolated systems Lyapunov exponent Quantum echoes Quantum maps Time-reversed Chaotic systems García-Mata, Ignacio Wisniacki, Diego A. Irreversibility in quantum maps with decoherence
topic_facet	Decoherence Quantum echoes Quantum maps Behavioral research Decay (organic) Lyapunov methods Quantum theory Boltzmann Decay rate Decoherence Isolated systems Lyapunov exponent Quantum echoes Quantum maps Time-reversed Chaotic systems
description	The Boltzmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE decays with a rate given by the sum of a term depending on the accuracy with which the system is time reversed and a term depending on the coupling between the system and the environment. In addition, a parameter-independent regime, characterized by the classical Lyapunov exponent, is expected. In this paper, we study the behaviour of the BE in hyperbolic maps that are in contact with different environments. We analyse the emergence of the different regimes and show that the behaviour of the decay rate of the BE is strongly dependent on the type of environment. © 2011 The Royal Society.
author	García-Mata, Ignacio Wisniacki, Diego A.
author_facet	García-Mata, Ignacio Wisniacki, Diego A.
author_sort	García-Mata, Ignacio
title	Irreversibility in quantum maps with decoherence
title_short	Irreversibility in quantum maps with decoherence
title_full	Irreversibility in quantum maps with decoherence
title_fullStr	Irreversibility in quantum maps with decoherence
title_full_unstemmed	Irreversibility in quantum maps with decoherence
title_sort	irreversibility in quantum maps with decoherence
publishDate	2011
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v369_n1935_p278_GarciaMata http://hdl.handle.net/20.500.12110/paper_1364503X_v369_n1935_p278_GarciaMata
work_keys_str_mv	AT garciamataignacio irreversibilityinquantummapswithdecoherence AT wisniackidiegoa irreversibilityinquantummapswithdecoherence
_version_	1768545801000189952

Irreversibility in quantum maps with decoherence

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