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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/176360
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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 Técnicas2025-09-03T09:54:29Zoai: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:34982025-09-03 09:54:29.844CONICET 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 |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.13397 |