Short periodic orbit approach to resonances and the fractal Weyl law

Autores
Pedrosa, Juan Manuel; Wisniacki, Diego Ariel; Carlo, Gabriel Gustavo; Novaes, M.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.
Fil: Pedrosa, Juan Manuel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
Fil: Novaes, M.. Universidade Federal do São Carlos; Brasil
Materia
Fractal Weyl Law
Open Quantum Maps
Short Periodic Orbits
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:11336/56099
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Short periodic orbit approach to resonances and the fractal Weyl lawPedrosa, Juan ManuelWisniacki, Diego ArielCarlo, Gabriel GustavoNovaes, M.Fractal Weyl LawOpen Quantum MapsShort Periodic Orbitshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.Fil: Pedrosa, Juan Manuel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; ArgentinaFil: 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; ArgentinaFil: Novaes, M.. Universidade Federal do São Carlos; BrasilAmerican Physical Society2012-03info: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/11336/56099Pedrosa, Juan Manuel; Wisniacki, Diego Ariel; Carlo, Gabriel Gustavo; Novaes, M.; Short periodic orbit approach to resonances and the fractal Weyl law; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 3; 3-2012; 1-51539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://pre.aps.org/abstract/PRE/v85/i3/e036203info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.036203info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:52:25Zoai:ri.conicet.gov.ar:11336/56099instacron: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:34982025-10-22 11:52:26.089CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Short periodic orbit approach to resonances and the fractal Weyl law
title Short periodic orbit approach to resonances and the fractal Weyl law
spellingShingle Short periodic orbit approach to resonances and the fractal Weyl law
Pedrosa, Juan Manuel
Fractal Weyl Law
Open Quantum Maps
Short Periodic Orbits
title_short Short periodic orbit approach to resonances and the fractal Weyl law
title_full Short periodic orbit approach to resonances and the fractal Weyl law
title_fullStr Short periodic orbit approach to resonances and the fractal Weyl law
title_full_unstemmed Short periodic orbit approach to resonances and the fractal Weyl law
title_sort Short periodic orbit approach to resonances and the fractal Weyl law
dc.creator.none.fl_str_mv Pedrosa, Juan Manuel
Wisniacki, Diego Ariel
Carlo, Gabriel Gustavo
Novaes, M.
author Pedrosa, Juan Manuel
author_facet Pedrosa, Juan Manuel
Wisniacki, Diego Ariel
Carlo, Gabriel Gustavo
Novaes, M.
author_role author
author2 Wisniacki, Diego Ariel
Carlo, Gabriel Gustavo
Novaes, M.
author2_role author
author
author
dc.subject.none.fl_str_mv Fractal Weyl Law
Open Quantum Maps
Short Periodic Orbits
topic Fractal Weyl Law
Open Quantum Maps
Short Periodic Orbits
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 investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.
Fil: Pedrosa, Juan Manuel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
Fil: Novaes, M.. Universidade Federal do São Carlos; Brasil
description We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012-03
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/11336/56099
Pedrosa, Juan Manuel; Wisniacki, Diego Ariel; Carlo, Gabriel Gustavo; Novaes, M.; Short periodic orbit approach to resonances and the fractal Weyl law; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 3; 3-2012; 1-5
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/56099
identifier_str_mv Pedrosa, Juan Manuel; Wisniacki, Diego Ariel; Carlo, Gabriel Gustavo; Novaes, M.; Short periodic orbit approach to resonances and the fractal Weyl law; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 3; 3-2012; 1-5
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/v85/i3/e036203
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.036203
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 12.982451

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