Role of short periodic orbits in quantum maps with continuous openings

Autores
Prado, Carlos Alberto; Carlo, Gabriel Gustavo; Benito, R. M.; Borondo, F.
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function.
Fil: Prado, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Benito, R. M.. Universidad Politécnica de Madrid; España
Fil: Borondo, F.. Universidad Autónoma de Madrid; España
Materia
Quantum Maps
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:11336/176360
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Role of short periodic orbits in quantum maps with continuous openingsPrado, Carlos AlbertoCarlo, Gabriel GustavoBenito, R. M.Borondo, F.Quantum MapsPeriodic Orbitshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function.Fil: Prado, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Benito, R. M.. Universidad Politécnica de Madrid; EspañaFil: Borondo, F.. Universidad Autónoma de Madrid; EspañaAmerican Physical Society2018-04info: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/11336/176360Prado, Carlos Alberto; Carlo, Gabriel Gustavo; Benito, R. M.; Borondo, F.; Role of short periodic orbits in quantum maps with continuous openings; American Physical Society; Physical Review E; 97; 4; 4-2018; 1-62470-00452470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.97.042211info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.97.042211info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:55:36Zoai:ri.conicet.gov.ar:11336/176360instacron: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 09:55:37.234CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Role of short periodic orbits in quantum maps with continuous openings
title Role of short periodic orbits in quantum maps with continuous openings
spellingShingle Role of short periodic orbits in quantum maps with continuous openings
Prado, Carlos Alberto
Quantum Maps
Periodic Orbits
title_short Role of short periodic orbits in quantum maps with continuous openings
title_full Role of short periodic orbits in quantum maps with continuous openings
title_fullStr Role of short periodic orbits in quantum maps with continuous openings
title_full_unstemmed Role of short periodic orbits in quantum maps with continuous openings
title_sort Role of short periodic orbits in quantum maps with continuous openings
dc.creator.none.fl_str_mv Prado, Carlos Alberto
Carlo, Gabriel Gustavo
Benito, R. M.
Borondo, F.
author Prado, Carlos Alberto
author_facet Prado, Carlos Alberto
Carlo, Gabriel Gustavo
Benito, R. M.
Borondo, F.
author_role author
author2 Carlo, Gabriel Gustavo
Benito, R. M.
Borondo, F.
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum Maps
Periodic Orbits
topic Quantum Maps
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 apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function.
Fil: Prado, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Benito, R. M.. Universidad Politécnica de Madrid; España
Fil: Borondo, F.. Universidad Autónoma de Madrid; España
description We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function.
publishDate 2018
dc.date.none.fl_str_mv 2018-04
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/11336/176360
Prado, Carlos Alberto; Carlo, Gabriel Gustavo; Benito, R. M.; Borondo, F.; Role of short periodic orbits in quantum maps with continuous openings; American Physical Society; Physical Review E; 97; 4; 4-2018; 1-6
2470-0045
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/176360
identifier_str_mv Prado, Carlos Alberto; Carlo, Gabriel Gustavo; Benito, R. M.; Borondo, F.; Role of short periodic orbits in quantum maps with continuous openings; American Physical Society; Physical Review E; 97; 4; 4-2018; 1-6
2470-0045
2470-0053
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.97.042211
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.97.042211
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 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 13.069144

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