Scaling laws in the quantum-to-classical transition in chaotic systems

Autores
Wisniacki, Diego Ariel; Toscano, Fabricio
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil
Materia
Quantum-Classical Transition
Chaos
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:11336/61556
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/61556
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network_name_str CONICET Digital (CONICET)
spelling Scaling laws in the quantum-to-classical transition in chaotic systemsWisniacki, Diego ArielToscano, FabricioQuantum-Classical TransitionChaoshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; BrasilAmerican Physical Society2009-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/61556Wisniacki, Diego Ariel; Toscano, Fabricio; Scaling laws in the quantum-to-classical transition in chaotic systems; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 79; 2; 2-2009; 252031-2520341539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.79.025203info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:26Zoai:ri.conicet.gov.ar:11336/61556instacron: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 09:45:27.257CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Scaling laws in the quantum-to-classical transition in chaotic systems
title Scaling laws in the quantum-to-classical transition in chaotic systems
spellingShingle Scaling laws in the quantum-to-classical transition in chaotic systems
Wisniacki, Diego Ariel
Quantum-Classical Transition
Chaos
title_short Scaling laws in the quantum-to-classical transition in chaotic systems
title_full Scaling laws in the quantum-to-classical transition in chaotic systems
title_fullStr Scaling laws in the quantum-to-classical transition in chaotic systems
title_full_unstemmed Scaling laws in the quantum-to-classical transition in chaotic systems
title_sort Scaling laws in the quantum-to-classical transition in chaotic systems
dc.creator.none.fl_str_mv Wisniacki, Diego Ariel
Toscano, Fabricio
author Wisniacki, Diego Ariel
author_facet Wisniacki, Diego Ariel
Toscano, Fabricio
author_role author
author2 Toscano, Fabricio
author2_role author
dc.subject.none.fl_str_mv Quantum-Classical Transition
Chaos
topic Quantum-Classical Transition
Chaos
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil
description We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.
publishDate 2009
dc.date.none.fl_str_mv 2009-02
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/11336/61556
Wisniacki, Diego Ariel; Toscano, Fabricio; Scaling laws in the quantum-to-classical transition in chaotic systems; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 79; 2; 2-2009; 252031-252034
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/61556
identifier_str_mv Wisniacki, Diego Ariel; Toscano, Fabricio; Scaling laws in the quantum-to-classical transition in chaotic systems; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 79; 2; 2-2009; 252031-252034
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.79.025203
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
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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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score 13.13397

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