Loschmidt echo

Autores
Goussev, Arseni; Jalabert, Rodolfo; Pastawski, Horacio Miguel; Wisniacki, Diego Ariel
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Loschmidt echo is a measure of the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system. It allows to quantify the sensitivity of quantum evolution to perturbations. An initial quantum state |ψ0⟩ evolves during a time t under a Hamiltonian H1 reaching the state |ψt⟩. Aiming to recover the initial state |ψ0⟩ a new Hamiltonian −H2 is applied between t and 2t. Perfect recover of |ψ0⟩ would be achieved by choosing H2 to be equal to H1. This is not possible in realistic setups, and there always appears a difference between H2 and H1, leading to a non-perfect recovery of the initial state. The forward evolution between t and 2t under the Hamiltonian −H2 is equivalent to a backward evolution from t to 0 under H2, which embodies the notion of time-reversal. The Loschmidt echo studies are focused on the cases where the dynamics induced by the Hamiltonians H1 and H2 are non-trivial, or sufficiently complex (like that of a classically chaotic one-particle system or a many-body system).
Fil: Goussev, Arseni. Max Planck Institute For The Physics Of Complex Systems; Alemania
Fil: Jalabert, Rodolfo. Institut de Physique et Chimie des Matériaux de Strasbourg; Francia
Fil: Pastawski, Horacio Miguel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
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; Argentina
Materia
QUANTUM MECHANICS
IRREVERSIBILITY
CHAOS
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:11336/59652
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Loschmidt echoGoussev, ArseniJalabert, RodolfoPastawski, Horacio MiguelWisniacki, Diego ArielQUANTUM MECHANICSIRREVERSIBILITYCHAOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The Loschmidt echo is a measure of the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system. It allows to quantify the sensitivity of quantum evolution to perturbations. An initial quantum state |ψ0⟩ evolves during a time t under a Hamiltonian H1 reaching the state |ψt⟩. Aiming to recover the initial state |ψ0⟩ a new Hamiltonian −H2 is applied between t and 2t. Perfect recover of |ψ0⟩ would be achieved by choosing H2 to be equal to H1. This is not possible in realistic setups, and there always appears a difference between H2 and H1, leading to a non-perfect recovery of the initial state. The forward evolution between t and 2t under the Hamiltonian −H2 is equivalent to a backward evolution from t to 0 under H2, which embodies the notion of time-reversal. The Loschmidt echo studies are focused on the cases where the dynamics induced by the Hamiltonians H1 and H2 are non-trivial, or sufficiently complex (like that of a classically chaotic one-particle system or a many-body system).Fil: Goussev, Arseni. Max Planck Institute For The Physics Of Complex Systems; AlemaniaFil: Jalabert, Rodolfo. Institut de Physique et Chimie des Matériaux de Strasbourg; FranciaFil: Pastawski, Horacio Miguel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaScholarpedia2012-06-28info: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/11336/59652Goussev, Arseni; Jalabert, Rodolfo; Pastawski, Horacio Miguel; Wisniacki, Diego Ariel; Loschmidt echo; Scholarpedia; Scholarpedia; 7; 8; 28-6-2012; 11687-116871941-6016CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.scholarpedia.org/article/Loschmidt_echoinfo:eu-repo/semantics/altIdentifier/doi/10.4249/scholarpedia.11687info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:53:34Zoai:ri.conicet.gov.ar:11336/59652instacron: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 09:53:34.796CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Loschmidt echo
title Loschmidt echo
spellingShingle Loschmidt echo
Goussev, Arseni
QUANTUM MECHANICS
IRREVERSIBILITY
CHAOS
title_short Loschmidt echo
title_full Loschmidt echo
title_fullStr Loschmidt echo
title_full_unstemmed Loschmidt echo
title_sort Loschmidt echo
dc.creator.none.fl_str_mv Goussev, Arseni
Jalabert, Rodolfo
Pastawski, Horacio Miguel
Wisniacki, Diego Ariel
author Goussev, Arseni
author_facet Goussev, Arseni
Jalabert, Rodolfo
Pastawski, Horacio Miguel
Wisniacki, Diego Ariel
author_role author
author2 Jalabert, Rodolfo
Pastawski, Horacio Miguel
Wisniacki, Diego Ariel
author2_role author
author
author
dc.subject.none.fl_str_mv QUANTUM MECHANICS
IRREVERSIBILITY
CHAOS
topic QUANTUM MECHANICS
IRREVERSIBILITY
CHAOS
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 is a measure of the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system. It allows to quantify the sensitivity of quantum evolution to perturbations. An initial quantum state |ψ0⟩ evolves during a time t under a Hamiltonian H1 reaching the state |ψt⟩. Aiming to recover the initial state |ψ0⟩ a new Hamiltonian −H2 is applied between t and 2t. Perfect recover of |ψ0⟩ would be achieved by choosing H2 to be equal to H1. This is not possible in realistic setups, and there always appears a difference between H2 and H1, leading to a non-perfect recovery of the initial state. The forward evolution between t and 2t under the Hamiltonian −H2 is equivalent to a backward evolution from t to 0 under H2, which embodies the notion of time-reversal. The Loschmidt echo studies are focused on the cases where the dynamics induced by the Hamiltonians H1 and H2 are non-trivial, or sufficiently complex (like that of a classically chaotic one-particle system or a many-body system).
Fil: Goussev, Arseni. Max Planck Institute For The Physics Of Complex Systems; Alemania
Fil: Jalabert, Rodolfo. Institut de Physique et Chimie des Matériaux de Strasbourg; Francia
Fil: Pastawski, Horacio Miguel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
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; Argentina
description The Loschmidt echo is a measure of the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system. It allows to quantify the sensitivity of quantum evolution to perturbations. An initial quantum state |ψ0⟩ evolves during a time t under a Hamiltonian H1 reaching the state |ψt⟩. Aiming to recover the initial state |ψ0⟩ a new Hamiltonian −H2 is applied between t and 2t. Perfect recover of |ψ0⟩ would be achieved by choosing H2 to be equal to H1. This is not possible in realistic setups, and there always appears a difference between H2 and H1, leading to a non-perfect recovery of the initial state. The forward evolution between t and 2t under the Hamiltonian −H2 is equivalent to a backward evolution from t to 0 under H2, which embodies the notion of time-reversal. The Loschmidt echo studies are focused on the cases where the dynamics induced by the Hamiltonians H1 and H2 are non-trivial, or sufficiently complex (like that of a classically chaotic one-particle system or a many-body system).
publishDate 2012
dc.date.none.fl_str_mv 2012-06-28
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/11336/59652
Goussev, Arseni; Jalabert, Rodolfo; Pastawski, Horacio Miguel; Wisniacki, Diego Ariel; Loschmidt echo; Scholarpedia; Scholarpedia; 7; 8; 28-6-2012; 11687-11687
1941-6016
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59652
identifier_str_mv Goussev, Arseni; Jalabert, Rodolfo; Pastawski, Horacio Miguel; Wisniacki, Diego Ariel; Loschmidt echo; Scholarpedia; Scholarpedia; 7; 8; 28-6-2012; 11687-11687
1941-6016
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.scholarpedia.org/article/Loschmidt_echo
info:eu-repo/semantics/altIdentifier/doi/10.4249/scholarpedia.11687
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 Scholarpedia
publisher.none.fl_str_mv Scholarpedia
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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