Universal response of quantum systems with chaotic dynamics

The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connectin...

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Autores: Wisniacki, Diego Ariel, Ares, Natalia, Vergini, Eduardo Germán
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/78198
Acceso en línea:http://hdl.handle.net/11336/78198
Access Level:acceso abierto
Palabra clave:Caos
Mecánica Cuántica
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Universal response of quantum systems with chaotic dynamicsWisniacki, Diego ArielAres, NataliaVergini, Eduardo GermánCaosMecánica Cuánticahttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society.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; ArgentinaFil: Ares, Natalia. Universidad de Buenos Aires; ArgentinaFil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica; ArgentinaAmerican Physical Society2010-06info: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/11336/78198Wisniacki, Diego Ariel; Ares, Natalia; Vergini, Eduardo Germán; Universal response of quantum systems with chaotic dynamics; American Physical Society; Physical Review Letters; 104; 25; 6-2010; 2541011-25410140031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.104.254101info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:28:45Zoai:ri.conicet.gov.ar:11336/78198instacron: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:34982024-05-08 14:28:46.17CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Universal response of quantum systems with chaotic dynamics
title Universal response of quantum systems with chaotic dynamics
spellingShingle Universal response of quantum systems with chaotic dynamics
Wisniacki, Diego Ariel
Caos
Mecánica Cuántica
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Universal response of quantum systems with chaotic dynamics
title_full Universal response of quantum systems with chaotic dynamics
title_fullStr Universal response of quantum systems with chaotic dynamics
title_full_unstemmed Universal response of quantum systems with chaotic dynamics
title_sort Universal response of quantum systems with chaotic dynamics
dc.creator.none.fl_str_mv Wisniacki, Diego Ariel
Ares, Natalia
Vergini, Eduardo Germán
author Wisniacki, Diego Ariel
author_facet Wisniacki, Diego Ariel
Ares, Natalia
Vergini, Eduardo Germán
author_role author
author2 Ares, Natalia
Vergini, Eduardo Germán
author2_role author
author
dc.subject.none.fl_str_mv Caos
Mecánica Cuántica
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic Caos
Mecánica Cuántica
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society.
publishDate 2010
dc.date.none.fl_str_mv 2010-06
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/11336/78198
Wisniacki, Diego Ariel; Ares, Natalia; Vergini, Eduardo Germán; Universal response of quantum systems with chaotic dynamics; American Physical Society; Physical Review Letters; 104; 25; 6-2010; 2541011-2541014
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/78198
identifier_str_mv Wisniacki, Diego Ariel; Ares, Natalia; Vergini, Eduardo Germán; Universal response of quantum systems with chaotic dynamics; American Physical Society; Physical Review Letters; 104; 25; 6-2010; 2541011-2541014
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.104.254101
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
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15.812455

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