Quantum non-Markovian behavior at the chaos border

In this work we study the non-Markovian behavior of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both regular islands and chaotic areas, the average non-Markovian behav...

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Detalles Bibliográficos
Autores principales:	García-Mata, Ignacio, Wisniacki, Diego A.
Publicado:	2014
Materias:	decoherence non-Markovianity open quantum systems quantum chaos
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v47_n11_p_GarciaMata http://hdl.handle.net/20.500.12110/paper_17518113_v47_n11_p_GarciaMata
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_17518113_v47_n11_p_GarciaMata
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spelling	paper:paper_17518113_v47_n11_p_GarciaMata2023-06-08T16:28:43Z Quantum non-Markovian behavior at the chaos border García-Mata, Ignacio Wisniacki, Diego A. decoherence non-Markovianity open quantum systems quantum chaos In this work we study the non-Markovian behavior of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both regular islands and chaotic areas, the average non-Markovian behavior is enhanced to values even larger than those in the regular regime. This effect can be related to the non-Markovian behavior as a function of the initial state of the environment, where maxima are attained at the regions dividing separate areas in classical phase space, particularly at the borders between chaotic and regular regions. Moreover, we show that the fluctuations of the fidelity of the environment - which determine the non-Markovianity measure - give a precise image of the classical phase portrait. © 2014 IOP Publishing Ltd. 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v47_n11_p_GarciaMata http://hdl.handle.net/20.500.12110/paper_17518113_v47_n11_p_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 non-Markovianity open quantum systems quantum chaos
spellingShingle	decoherence non-Markovianity open quantum systems quantum chaos García-Mata, Ignacio Wisniacki, Diego A. Quantum non-Markovian behavior at the chaos border
topic_facet	decoherence non-Markovianity open quantum systems quantum chaos
description	In this work we study the non-Markovian behavior of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both regular islands and chaotic areas, the average non-Markovian behavior is enhanced to values even larger than those in the regular regime. This effect can be related to the non-Markovian behavior as a function of the initial state of the environment, where maxima are attained at the regions dividing separate areas in classical phase space, particularly at the borders between chaotic and regular regions. Moreover, we show that the fluctuations of the fidelity of the environment - which determine the non-Markovianity measure - give a precise image of the classical phase portrait. © 2014 IOP Publishing Ltd.
author	García-Mata, Ignacio Wisniacki, Diego A.
author_facet	García-Mata, Ignacio Wisniacki, Diego A.
author_sort	García-Mata, Ignacio
title	Quantum non-Markovian behavior at the chaos border
title_short	Quantum non-Markovian behavior at the chaos border
title_full	Quantum non-Markovian behavior at the chaos border
title_fullStr	Quantum non-Markovian behavior at the chaos border
title_full_unstemmed	Quantum non-Markovian behavior at the chaos border
title_sort	quantum non-markovian behavior at the chaos border
publishDate	2014
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v47_n11_p_GarciaMata http://hdl.handle.net/20.500.12110/paper_17518113_v47_n11_p_GarciaMata
work_keys_str_mv	AT garciamataignacio quantumnonmarkovianbehavioratthechaosborder AT wisniackidiegoa quantumnonmarkovianbehavioratthechaosborder
_version_	1768542710721937408

Quantum non-Markovian behavior at the chaos border

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