Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime

Autores
Garcia-Mata, Ignacio; Wisniacki, Diego Ariel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Loschmidt echo (LE) is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity for chaotic systems is an exponential decay with a perturbation-independent decay rate given by the classical Lyapunov exponent. However, a non-uniform decay—instead of the Lyapunov regime—has been reported in several systems. In this work, we find an analytical semiclassical expression for the averaged fidelity amplitude that can be directly related to the anomalous—unexpected—behaviour of the LE.
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
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
CAOS CUANTICO
SISTEMAS CUANTICOS ABIERTOS
SISTEMAS COMPLEJOS
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:11336/278607
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regimeGarcia-Mata, IgnacioWisniacki, Diego ArielCAOS CUANTICOSISTEMAS CUANTICOS ABIERTOSSISTEMAS COMPLEJOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The Loschmidt echo (LE) is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity for chaotic systems is an exponential decay with a perturbation-independent decay rate given by the classical Lyapunov exponent. However, a non-uniform decay—instead of the Lyapunov regime—has been reported in several systems. In this work, we find an analytical semiclassical expression for the averaged fidelity amplitude that can be directly related to the anomalous—unexpected—behaviour of the LE.Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: 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 Publishing2011-06info: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/11336/278607Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 31; 6-2011; 1-151751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/44/31/315101info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/31/315101info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-14T12:18:18Zoai:ri.conicet.gov.ar:11336/278607instacron: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:34982026-01-14 12:18:18.902CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
title Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
spellingShingle Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
Garcia-Mata, Ignacio
CAOS CUANTICO
SISTEMAS CUANTICOS ABIERTOS
SISTEMAS COMPLEJOS
title_short Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
title_full Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
title_fullStr Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
title_full_unstemmed Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
title_sort Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
dc.creator.none.fl_str_mv Garcia-Mata, Ignacio
Wisniacki, Diego Ariel
author Garcia-Mata, Ignacio
author_facet Garcia-Mata, Ignacio
Wisniacki, Diego Ariel
author_role author
author2 Wisniacki, Diego Ariel
author2_role author
dc.subject.none.fl_str_mv CAOS CUANTICO
SISTEMAS CUANTICOS ABIERTOS
SISTEMAS COMPLEJOS
topic CAOS CUANTICO
SISTEMAS CUANTICOS ABIERTOS
SISTEMAS COMPLEJOS
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 Loschmidt echo (LE) is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity for chaotic systems is an exponential decay with a perturbation-independent decay rate given by the classical Lyapunov exponent. However, a non-uniform decay—instead of the Lyapunov regime—has been reported in several systems. In this work, we find an analytical semiclassical expression for the averaged fidelity amplitude that can be directly related to the anomalous—unexpected—behaviour of the LE.
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
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 The Loschmidt echo (LE) is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity for chaotic systems is an exponential decay with a perturbation-independent decay rate given by the classical Lyapunov exponent. However, a non-uniform decay—instead of the Lyapunov regime—has been reported in several systems. In this work, we find an analytical semiclassical expression for the averaged fidelity amplitude that can be directly related to the anomalous—unexpected—behaviour of the LE.
publishDate 2011
dc.date.none.fl_str_mv 2011-06
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/11336/278607
Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 31; 6-2011; 1-15
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/278607
identifier_str_mv Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 31; 6-2011; 1-15
1751-8113
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://iopscience.iop.org/article/10.1088/1751-8113/44/31/315101
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/31/315101
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 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 13.065482

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