Universal response of quantum systems with chaotic dynamics
- Autores
- Wisniacki, Diego Ariel; Ares, Natalia; Vergini, Eduardo Germán
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
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; Argentina
Fil: Ares, Natalia. Universidad de Buenos Aires; Argentina
Fil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica; Argentina - Materia
-
Caos
Mecánica Cuántica - 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:11336/78198
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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 Técnicas2025-09-29T10:47:13Zoai: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:34982025-09-29 10:47:13.631CONICET 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 |
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 |
topic |
Caos Mecánica Cuántica |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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. 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; Argentina Fil: Ares, Natalia. Universidad de Buenos Aires; Argentina Fil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica; Argentina |
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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
instname_str |
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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13.070432 |