Quantum non-Markovian behavior at the chaos border

Autores
Garcia-Mata, Ignacio; Pineda, Carlos; Wisniacki, Diego Ariel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Pineda, Carlos. Universidad Nacional Autonoma de Mexico. Facultad de Ciencias; México
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
Materia
Caos
Cuantico
Metodos
Semiclasicos
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/11033

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spelling Quantum non-Markovian behavior at the chaos borderGarcia-Mata, IgnacioPineda, CarlosWisniacki, Diego ArielCaosCuanticoMetodosSemiclasicoshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In 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.Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Pineda, Carlos. Universidad Nacional Autonoma de Mexico. Facultad de Ciencias; MéxicoFil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; ArgentinaIop Publishing2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/11033Garcia-Mata, Ignacio; Pineda, Carlos; Wisniacki, Diego Ariel; Quantum non-Markovian behavior at the chaos border; Iop Publishing; Journal Of Physics A: Mathematical And Theoretical; 47; 1-2014; 115301-1153241751-8113enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/47/11/115301info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/11/115301info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:51:41Zoai:ri.conicet.gov.ar:11336/11033instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:51:41.355CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum non-Markovian behavior at the chaos border
title Quantum non-Markovian behavior at the chaos border
spellingShingle Quantum non-Markovian behavior at the chaos border
Garcia-Mata, Ignacio
Caos
Cuantico
Metodos
Semiclasicos
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
dc.creator.none.fl_str_mv Garcia-Mata, Ignacio
Pineda, Carlos
Wisniacki, Diego Ariel
author Garcia-Mata, Ignacio
author_facet Garcia-Mata, Ignacio
Pineda, Carlos
Wisniacki, Diego Ariel
author_role author
author2 Pineda, Carlos
Wisniacki, Diego Ariel
author2_role author
author
dc.subject.none.fl_str_mv Caos
Cuantico
Metodos
Semiclasicos
topic Caos
Cuantico
Metodos
Semiclasicos
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Pineda, Carlos. Universidad Nacional Autonoma de Mexico. Facultad de Ciencias; México
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
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.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/11033
Garcia-Mata, Ignacio; Pineda, Carlos; Wisniacki, Diego Ariel; Quantum non-Markovian behavior at the chaos border; Iop Publishing; Journal Of Physics A: Mathematical And Theoretical; 47; 1-2014; 115301-115324
1751-8113
url http://hdl.handle.net/11336/11033
identifier_str_mv Garcia-Mata, Ignacio; Pineda, Carlos; Wisniacki, Diego Ariel; Quantum non-Markovian behavior at the chaos border; Iop Publishing; Journal Of Physics A: Mathematical And Theoretical; 47; 1-2014; 115301-115324
1751-8113
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/47/11/115301
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/11/115301
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Iop Publishing
publisher.none.fl_str_mv Iop Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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