Role of initial conditions in the dynamics of quantum glassy systems

Autores
Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems.
Fil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Lozano, Gustavo Sergio. 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: Nessi, Emilio Nicolás. 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
Materia
QUANTUM DISORDERED SYSTEMS
QUANTUM GLASSES
QUANTUM QUENCHE
SPIN GLASSES
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:11336/147618
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Role of initial conditions in the dynamics of quantum glassy systemsCugliandolo, Leticia F.Lozano, Gustavo SergioNessi, Emilio NicolásQUANTUM DISORDERED SYSTEMSQUANTUM GLASSESQUANTUM QUENCHESPIN GLASSEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems.Fil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Centre National de la Recherche Scientifique; FranciaFil: Lozano, Gustavo Sergio. 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: Nessi, Emilio Nicolás. 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; ArgentinaIOP Publishing2019-02-25info: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/11336/147618Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Role of initial conditions in the dynamics of quantum glassy systems; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2019; 2; 25-2-2019; 1-221742-5468CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/ab02edinfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1742-5468/ab02edinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1811.03987info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:40:13Zoai:ri.conicet.gov.ar:11336/147618instacron: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 09:40:13.383CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Role of initial conditions in the dynamics of quantum glassy systems
title Role of initial conditions in the dynamics of quantum glassy systems
spellingShingle Role of initial conditions in the dynamics of quantum glassy systems
Cugliandolo, Leticia F.
QUANTUM DISORDERED SYSTEMS
QUANTUM GLASSES
QUANTUM QUENCHE
SPIN GLASSES
title_short Role of initial conditions in the dynamics of quantum glassy systems
title_full Role of initial conditions in the dynamics of quantum glassy systems
title_fullStr Role of initial conditions in the dynamics of quantum glassy systems
title_full_unstemmed Role of initial conditions in the dynamics of quantum glassy systems
title_sort Role of initial conditions in the dynamics of quantum glassy systems
dc.creator.none.fl_str_mv Cugliandolo, Leticia F.
Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author Cugliandolo, Leticia F.
author_facet Cugliandolo, Leticia F.
Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author_role author
author2 Lozano, Gustavo Sergio
Nessi, Emilio Nicolás
author2_role author
author
dc.subject.none.fl_str_mv QUANTUM DISORDERED SYSTEMS
QUANTUM GLASSES
QUANTUM QUENCHE
SPIN GLASSES
topic QUANTUM DISORDERED SYSTEMS
QUANTUM GLASSES
QUANTUM QUENCHE
SPIN GLASSES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems.
Fil: Cugliandolo, Leticia F.. Sorbonne University; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Lozano, Gustavo Sergio. 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: Nessi, Emilio Nicolás. 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
description We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems.
publishDate 2019
dc.date.none.fl_str_mv 2019-02-25
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/11336/147618
Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Role of initial conditions in the dynamics of quantum glassy systems; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2019; 2; 25-2-2019; 1-22
1742-5468
CONICET Digital
CONICET
url http://hdl.handle.net/11336/147618
identifier_str_mv Cugliandolo, Leticia F.; Lozano, Gustavo Sergio; Nessi, Emilio Nicolás; Role of initial conditions in the dynamics of quantum glassy systems; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2019; 2; 25-2-2019; 1-22
1742-5468
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/ab02ed
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1742-5468/ab02ed
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1811.03987
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 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 13.070432

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