Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system

We address the question of how weak perturbations, which are quite ineffective in small many-body systems, can lead to decoherence and hence to irreversibility when they proliferate as the system size increases. This question is at the heart of solid-state NMR. There, an initially local polarization...

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Detalhes bibliográficos
Autores: Zangara, Pablo René, Bendersky, Denise, Pastawski, Horacio Miguel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/185849
Acesso em linha:http://hdl.handle.net/11336/185849
Access Level:acceso abierto
Palavra-chave:DECOHERENCE
MANY-BODY SYSTEMS
LOSCHMIDT ECHO
EFFECTIVE INTERACTIONS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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network_acronym_str AR
network_name_str Argentina
repository_id_str
spelling Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body systemZangara, Pablo RenéBendersky, DenisePastawski, Horacio MiguelDECOHERENCEMANY-BODY SYSTEMSLOSCHMIDT ECHOEFFECTIVE INTERACTIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We address the question of how weak perturbations, which are quite ineffective in small many-body systems, can lead to decoherence and hence to irreversibility when they proliferate as the system size increases. This question is at the heart of solid-state NMR. There, an initially local polarization spreads all over due to spin-spin interactions that conserve the total spin projection, leading to an equilibration of the polarization. In principle, this quantum dynamics can be reversed by changing the sign of the Hamiltonian. However, the reversal is usually perturbed by nonreversible interactions that act as a decoherence source. The fraction of the local excitation recovered defines the Loschmidt echo (LE), here evaluated in a series of closed N spin systems with all-to-all interactions. The most remarkable regime of the LE decay occurs when the perturbation induces proliferated effective interactions. We show that if this perturbation exceeds some lower bound, the decay is ruled by an effective Fermi golden rule (FGR). Such a lower bound shrinks as N increases, becoming the leading mechanism for LE decay in the thermodynamic limit. Once the polarization stayed equilibrated longer than the FGR time, it remains equilibrated in spite of the reversal procedure.Fil: Zangara, Pablo René. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Bendersky, Denise. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Pastawski, Horacio Miguel. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAmerican Physical Society2015-04-13info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/185849Zangara, Pablo René; Bendersky, Denise; Pastawski, Horacio Miguel; Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 4; 13-4-2015; 1-81050-29471094-1622CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.042112info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.91.042112info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:39:10Zoai:ri.conicet.gov.ar:11336/185849instacron: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 13:39:10.636CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
title Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
spellingShingle Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
Zangara, Pablo René
DECOHERENCE
MANY-BODY SYSTEMS
LOSCHMIDT ECHO
EFFECTIVE INTERACTIONS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
title_full Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
title_fullStr Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
title_full_unstemmed Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
title_sort Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
dc.creator.none.fl_str_mv Zangara, Pablo René
Bendersky, Denise
Pastawski, Horacio Miguel
author Zangara, Pablo René
author_facet Zangara, Pablo René
Bendersky, Denise
Pastawski, Horacio Miguel
author_role author
author2 Bendersky, Denise
Pastawski, Horacio Miguel
author2_role author
author
dc.subject.none.fl_str_mv DECOHERENCE
MANY-BODY SYSTEMS
LOSCHMIDT ECHO
EFFECTIVE INTERACTIONS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic DECOHERENCE
MANY-BODY SYSTEMS
LOSCHMIDT ECHO
EFFECTIVE INTERACTIONS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description We address the question of how weak perturbations, which are quite ineffective in small many-body systems, can lead to decoherence and hence to irreversibility when they proliferate as the system size increases. This question is at the heart of solid-state NMR. There, an initially local polarization spreads all over due to spin-spin interactions that conserve the total spin projection, leading to an equilibration of the polarization. In principle, this quantum dynamics can be reversed by changing the sign of the Hamiltonian. However, the reversal is usually perturbed by nonreversible interactions that act as a decoherence source. The fraction of the local excitation recovered defines the Loschmidt echo (LE), here evaluated in a series of closed N spin systems with all-to-all interactions. The most remarkable regime of the LE decay occurs when the perturbation induces proliferated effective interactions. We show that if this perturbation exceeds some lower bound, the decay is ruled by an effective Fermi golden rule (FGR). Such a lower bound shrinks as N increases, becoming the leading mechanism for LE decay in the thermodynamic limit. Once the polarization stayed equilibrated longer than the FGR time, it remains equilibrated in spite of the reversal procedure.
publishDate 2015
dc.date.none.fl_str_mv 2015-04-13
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/11336/185849
Zangara, Pablo René; Bendersky, Denise; Pastawski, Horacio Miguel; Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 4; 13-4-2015; 1-8
1050-2947
1094-1622
CONICET Digital
CONICET
url http://hdl.handle.net/11336/185849
identifier_str_mv Zangara, Pablo René; Bendersky, Denise; Pastawski, Horacio Miguel; Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 4; 13-4-2015; 1-8
1050-2947
1094-1622
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://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.042112
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.91.042112
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
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 15,811543

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