Average localization of resonances on the quantum repeller

Autores
Montes, J.; Carlo, Gabriel Gustavo; Borondo, Florentino
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
There has been a very recent surge in the interest on the localization properties of resonances associated to partially open (scattering) systems, which are of great relevance when studying resonant cavities such as those used in microlasers. Very recently, it has been found that no localization is present in a scaled form of these states. Moreover, a new kind of scarring on structures different from periodic orbits is described for non scaled resonances. In this paper, we analyze the localization of a distribution function corresponding to the quantum LR representation – based on the non unitary evolution operator decomposition into left and right resonances – for the partially open quantum tribaker map, a paradigmatic system. We find localization on the shortest periodic orbits. Also, scaled states present enhancements that could not be associated to periodic orbits and that become more evident when looking at the LR representation. These findings open the door for new perspectives on recent theoretical developments.
Fil: Montes, J.. Universidad Autónoma de Madrid; España
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Borondo, Florentino. Universidad Autónoma de Madrid; España
Materia
Quantum resonances
Quantum Open Systems
Quantum Localization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/233067
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/233067
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Average localization of resonances on the quantum repellerMontes, J.Carlo, Gabriel GustavoBorondo, FlorentinoQuantum resonancesQuantum Open SystemsQuantum Localizationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1There has been a very recent surge in the interest on the localization properties of resonances associated to partially open (scattering) systems, which are of great relevance when studying resonant cavities such as those used in microlasers. Very recently, it has been found that no localization is present in a scaled form of these states. Moreover, a new kind of scarring on structures different from periodic orbits is described for non scaled resonances. In this paper, we analyze the localization of a distribution function corresponding to the quantum LR representation – based on the non unitary evolution operator decomposition into left and right resonances – for the partially open quantum tribaker map, a paradigmatic system. We find localization on the shortest periodic orbits. Also, scaled states present enhancements that could not be associated to periodic orbits and that become more evident when looking at the LR representation. These findings open the door for new perspectives on recent theoretical developments.Fil: Montes, J.. Universidad Autónoma de Madrid; EspañaFil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Borondo, Florentino. Universidad Autónoma de Madrid; EspañaElsevier Science2024-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/233067Montes, J.; Carlo, Gabriel Gustavo; Borondo, Florentino; Average localization of resonances on the quantum repeller; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 132; 107886; 5-2024; 1-101007-5704CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2024.107886info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570424000728info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:19:39Zoai:ri.conicet.gov.ar:11336/233067instacron: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 12:19:39.344CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Average localization of resonances on the quantum repeller
title Average localization of resonances on the quantum repeller
spellingShingle Average localization of resonances on the quantum repeller
Montes, J.
Quantum resonances
Quantum Open Systems
Quantum Localization
title_short Average localization of resonances on the quantum repeller
title_full Average localization of resonances on the quantum repeller
title_fullStr Average localization of resonances on the quantum repeller
title_full_unstemmed Average localization of resonances on the quantum repeller
title_sort Average localization of resonances on the quantum repeller
dc.creator.none.fl_str_mv Montes, J.
Carlo, Gabriel Gustavo
Borondo, Florentino
author Montes, J.
author_facet Montes, J.
Carlo, Gabriel Gustavo
Borondo, Florentino
author_role author
author2 Carlo, Gabriel Gustavo
Borondo, Florentino
author2_role author
author
dc.subject.none.fl_str_mv Quantum resonances
Quantum Open Systems
Quantum Localization
topic Quantum resonances
Quantum Open Systems
Quantum Localization
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv There has been a very recent surge in the interest on the localization properties of resonances associated to partially open (scattering) systems, which are of great relevance when studying resonant cavities such as those used in microlasers. Very recently, it has been found that no localization is present in a scaled form of these states. Moreover, a new kind of scarring on structures different from periodic orbits is described for non scaled resonances. In this paper, we analyze the localization of a distribution function corresponding to the quantum LR representation – based on the non unitary evolution operator decomposition into left and right resonances – for the partially open quantum tribaker map, a paradigmatic system. We find localization on the shortest periodic orbits. Also, scaled states present enhancements that could not be associated to periodic orbits and that become more evident when looking at the LR representation. These findings open the door for new perspectives on recent theoretical developments.
Fil: Montes, J.. Universidad Autónoma de Madrid; España
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Borondo, Florentino. Universidad Autónoma de Madrid; España
description There has been a very recent surge in the interest on the localization properties of resonances associated to partially open (scattering) systems, which are of great relevance when studying resonant cavities such as those used in microlasers. Very recently, it has been found that no localization is present in a scaled form of these states. Moreover, a new kind of scarring on structures different from periodic orbits is described for non scaled resonances. In this paper, we analyze the localization of a distribution function corresponding to the quantum LR representation – based on the non unitary evolution operator decomposition into left and right resonances – for the partially open quantum tribaker map, a paradigmatic system. We find localization on the shortest periodic orbits. Also, scaled states present enhancements that could not be associated to periodic orbits and that become more evident when looking at the LR representation. These findings open the door for new perspectives on recent theoretical developments.
publishDate 2024
dc.date.none.fl_str_mv 2024-05
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/11336/233067
Montes, J.; Carlo, Gabriel Gustavo; Borondo, Florentino; Average localization of resonances on the quantum repeller; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 132; 107886; 5-2024; 1-10
1007-5704
CONICET Digital
CONICET
url http://hdl.handle.net/11336/233067
identifier_str_mv Montes, J.; Carlo, Gabriel Gustavo; Borondo, Florentino; Average localization of resonances on the quantum repeller; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 132; 107886; 5-2024; 1-10
1007-5704
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2024.107886
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570424000728
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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