Universal wave functions structure in mixed systems

Autores
Wisniacki, Diego Ariel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincar`e-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution.
Fil: Wisniacki, Diego Ariel. 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
Materia
Quantum Chaos
Mixed Systems
Semiclassics
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:11336/17956
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/17956
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Universal wave functions structure in mixed systemsWisniacki, Diego ArielQuantum ChaosMixed SystemsSemiclassicshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincar`e-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution.Fil: Wisniacki, Diego Ariel. 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; ArgentinaIOP Publishing2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/17956Wisniacki, Diego Ariel; Universal wave functions structure in mixed systems; IOP Publishing; Europhysics Letters; 106; 6; 6-2014; 1-6; 600060295-5075enginfo:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/106/60006info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1209/0295-5075/106/60006/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:12:04Zoai:ri.conicet.gov.ar:11336/17956instacron: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 10:12:04.526CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Universal wave functions structure in mixed systems
title Universal wave functions structure in mixed systems
spellingShingle Universal wave functions structure in mixed systems
Wisniacki, Diego Ariel
Quantum Chaos
Mixed Systems
Semiclassics
title_short Universal wave functions structure in mixed systems
title_full Universal wave functions structure in mixed systems
title_fullStr Universal wave functions structure in mixed systems
title_full_unstemmed Universal wave functions structure in mixed systems
title_sort Universal wave functions structure in mixed systems
dc.creator.none.fl_str_mv Wisniacki, Diego Ariel
author Wisniacki, Diego Ariel
author_facet Wisniacki, Diego Ariel
author_role author
dc.subject.none.fl_str_mv Quantum Chaos
Mixed Systems
Semiclassics
topic Quantum Chaos
Mixed Systems
Semiclassics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincar`e-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution.
Fil: Wisniacki, Diego Ariel. 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
description When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincar`e-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
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/11336/17956
Wisniacki, Diego Ariel; Universal wave functions structure in mixed systems; IOP Publishing; Europhysics Letters; 106; 6; 6-2014; 1-6; 60006
0295-5075
url http://hdl.handle.net/11336/17956
identifier_str_mv Wisniacki, Diego Ariel; Universal wave functions structure in mixed systems; IOP Publishing; Europhysics Letters; 106; 6; 6-2014; 1-6; 60006
0295-5075
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/106/60006
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1209/0295-5075/106/60006/meta
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
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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