Classical Chaos Described by a Density Matrix

Autores
Kowalski, Andrés Mauricio; Plastino, Ángel Luis; Gonzalez, Gaspar
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.
Instituto de Física La Plata
Materia
Física
Classical limit
Semiclassical system
Semiclassical chaos
Clasiccal chaos
Maximum entropy density matrix
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125457

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network_name_str SEDICI (UNLP)
spelling Classical Chaos Described by a Density MatrixKowalski, Andrés MauricioPlastino, Ángel LuisGonzalez, GasparFísicaClassical limitSemiclassical systemSemiclassical chaosClasiccal chaosMaximum entropy density matrixIn this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.Instituto de Física La Plata2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125457enginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2624-8174/3/3/45info:eu-repo/semantics/altIdentifier/issn/2624-8174info:eu-repo/semantics/altIdentifier/doi/10.3390/physics3030045info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-10T12:32:41Zoai:sedici.unlp.edu.ar:10915/125457Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-10 12:32:41.711SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Classical Chaos Described by a Density Matrix
title Classical Chaos Described by a Density Matrix
spellingShingle Classical Chaos Described by a Density Matrix
Kowalski, Andrés Mauricio
Física
Classical limit
Semiclassical system
Semiclassical chaos
Clasiccal chaos
Maximum entropy density matrix
title_short Classical Chaos Described by a Density Matrix
title_full Classical Chaos Described by a Density Matrix
title_fullStr Classical Chaos Described by a Density Matrix
title_full_unstemmed Classical Chaos Described by a Density Matrix
title_sort Classical Chaos Described by a Density Matrix
dc.creator.none.fl_str_mv Kowalski, Andrés Mauricio
Plastino, Ángel Luis
Gonzalez, Gaspar
author Kowalski, Andrés Mauricio
author_facet Kowalski, Andrés Mauricio
Plastino, Ángel Luis
Gonzalez, Gaspar
author_role author
author2 Plastino, Ángel Luis
Gonzalez, Gaspar
author2_role author
author
dc.subject.none.fl_str_mv Física
Classical limit
Semiclassical system
Semiclassical chaos
Clasiccal chaos
Maximum entropy density matrix
topic Física
Classical limit
Semiclassical system
Semiclassical chaos
Clasiccal chaos
Maximum entropy density matrix
dc.description.none.fl_txt_mv In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.
Instituto de Física La Plata
description In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/125457
url http://sedici.unlp.edu.ar/handle/10915/125457
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/2624-8174
info:eu-repo/semantics/altIdentifier/doi/10.3390/physics3030045
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
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instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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