Classical transients and the support of open quantum maps

Autores
Carlo, Gabriel Gustavo; Wisniacki, Diego Ariel; Ermann, Leonardo; Benito, R.M.; Borondo, F.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.
Fil: Carlo, Gabriel Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; 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: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; Argentina
Fil: Benito, R.M.. Escuela Tecnica Superior de Ingenieros Agronomos de Madrid; España
Fil: Borondo, F.. Universidad Autónoma de Madrid; España
Materia
Open Systems
Chaos
Resonances
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:11336/77179
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Classical transients and the support of open quantum mapsCarlo, Gabriel GustavoWisniacki, Diego ArielErmann, LeonardoBenito, R.M.Borondo, F.Open SystemsChaosResonanceshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.Fil: Carlo, Gabriel Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; 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: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; ArgentinaFil: Benito, R.M.. Escuela Tecnica Superior de Ingenieros Agronomos de Madrid; EspañaFil: Borondo, F.. Universidad Autónoma de Madrid; EspañaAmerican Physical Society2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/77179Carlo, Gabriel Gustavo; Wisniacki, Diego Ariel; Ermann, Leonardo; Benito, R.M.; Borondo, F.; Classical transients and the support of open quantum maps; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 87; 1; 1-2013; 12909-129091539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://pre.aps.org/abstract/PRE/v87/i1/e012909info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.87.012909info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:15:19Zoai:ri.conicet.gov.ar:11336/77179instacron: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:34982025-09-29 10:15:19.601CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical transients and the support of open quantum maps
title Classical transients and the support of open quantum maps
spellingShingle Classical transients and the support of open quantum maps
Carlo, Gabriel Gustavo
Open Systems
Chaos
Resonances
title_short Classical transients and the support of open quantum maps
title_full Classical transients and the support of open quantum maps
title_fullStr Classical transients and the support of open quantum maps
title_full_unstemmed Classical transients and the support of open quantum maps
title_sort Classical transients and the support of open quantum maps
dc.creator.none.fl_str_mv Carlo, Gabriel Gustavo
Wisniacki, Diego Ariel
Ermann, Leonardo
Benito, R.M.
Borondo, F.
author Carlo, Gabriel Gustavo
author_facet Carlo, Gabriel Gustavo
Wisniacki, Diego Ariel
Ermann, Leonardo
Benito, R.M.
Borondo, F.
author_role author
author2 Wisniacki, Diego Ariel
Ermann, Leonardo
Benito, R.M.
Borondo, F.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Open Systems
Chaos
Resonances
topic Open Systems
Chaos
Resonances
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.
Fil: Carlo, Gabriel Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; 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: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; Argentina
Fil: Benito, R.M.. Escuela Tecnica Superior de Ingenieros Agronomos de Madrid; España
Fil: Borondo, F.. Universidad Autónoma de Madrid; España
description The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/11336/77179
Carlo, Gabriel Gustavo; Wisniacki, Diego Ariel; Ermann, Leonardo; Benito, R.M.; Borondo, F.; Classical transients and the support of open quantum maps; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 87; 1; 1-2013; 12909-12909
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/77179
identifier_str_mv Carlo, Gabriel Gustavo; Wisniacki, Diego Ariel; Ermann, Leonardo; Benito, R.M.; Borondo, F.; Classical transients and the support of open quantum maps; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 87; 1; 1-2013; 12909-12909
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/url/http://pre.aps.org/abstract/PRE/v87/i1/e012909
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.87.012909
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
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 13.070432

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