Quantum quench dynamics of the Coulomb Luttinger model

Autores
Nessi, Emilio Nicolás; Iucci, Carlos Aníbal
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the nonequilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex correlations, its finite time dynamics, and the stationary state limit. Correlations exhibit a nonlinear light-cone effect: The spreading of the initial signal accelerates as a consequence of the quantum nature of the excitations, whose peculiar dispersion of plasmonic type in one dimension (1D) gives rise to a logarithmic divergence in the group velocity at q = 0. In addition, we show that both the static and dynamic stationary state correlations can be reproduced with a simple generalized Gibbs ensemble despite the long-range character of the interactions which precludes the application of the Lieb-Robinson bounds. We propose a suitable experimental setup in which these effect can be observed based on ultracold ions loaded on linear traps.
Instituto de Física La Plata
Materia
Física
Luttinger
Coulomb
Quench
Lightcone
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/99103

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spelling Quantum quench dynamics of the Coulomb Luttinger modelNessi, Emilio NicolásIucci, Carlos AníbalFísicaLuttingerCoulombQuenchLightconeWe study the nonequilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex correlations, its finite time dynamics, and the stationary state limit. Correlations exhibit a nonlinear light-cone effect: The spreading of the initial signal accelerates as a consequence of the quantum nature of the excitations, whose peculiar dispersion of plasmonic type in one dimension (1D) gives rise to a logarithmic divergence in the group velocity at q = 0. In addition, we show that both the static and dynamic stationary state correlations can be reproduced with a simple generalized Gibbs ensemble despite the long-range character of the interactions which precludes the application of the Lieb-Robinson bounds. We propose a suitable experimental setup in which these effect can be observed based on ultracold ions loaded on linear traps.Instituto de Física La Plata2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf85137-85137http://sedici.unlp.edu.ar/handle/10915/99103enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23508info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085137info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1301.3809info:eu-repo/semantics/altIdentifier/issn/1098-0121info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.87.085137info:eu-repo/semantics/altIdentifier/arxiv/1301.3809info:eu-repo/semantics/altIdentifier/hdl/11336/23508info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:11:50Zoai:sedici.unlp.edu.ar:10915/99103Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:11:51.188SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum quench dynamics of the Coulomb Luttinger model
title Quantum quench dynamics of the Coulomb Luttinger model
spellingShingle Quantum quench dynamics of the Coulomb Luttinger model
Nessi, Emilio Nicolás
Física
Luttinger
Coulomb
Quench
Lightcone
title_short Quantum quench dynamics of the Coulomb Luttinger model
title_full Quantum quench dynamics of the Coulomb Luttinger model
title_fullStr Quantum quench dynamics of the Coulomb Luttinger model
title_full_unstemmed Quantum quench dynamics of the Coulomb Luttinger model
title_sort Quantum quench dynamics of the Coulomb Luttinger model
dc.creator.none.fl_str_mv Nessi, Emilio Nicolás
Iucci, Carlos Aníbal
author Nessi, Emilio Nicolás
author_facet Nessi, Emilio Nicolás
Iucci, Carlos Aníbal
author_role author
author2 Iucci, Carlos Aníbal
author2_role author
dc.subject.none.fl_str_mv Física
Luttinger
Coulomb
Quench
Lightcone
topic Física
Luttinger
Coulomb
Quench
Lightcone
dc.description.none.fl_txt_mv We study the nonequilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex correlations, its finite time dynamics, and the stationary state limit. Correlations exhibit a nonlinear light-cone effect: The spreading of the initial signal accelerates as a consequence of the quantum nature of the excitations, whose peculiar dispersion of plasmonic type in one dimension (1D) gives rise to a logarithmic divergence in the group velocity at q = 0. In addition, we show that both the static and dynamic stationary state correlations can be reproduced with a simple generalized Gibbs ensemble despite the long-range character of the interactions which precludes the application of the Lieb-Robinson bounds. We propose a suitable experimental setup in which these effect can be observed based on ultracold ions loaded on linear traps.
Instituto de Física La Plata
description We study the nonequilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex correlations, its finite time dynamics, and the stationary state limit. Correlations exhibit a nonlinear light-cone effect: The spreading of the initial signal accelerates as a consequence of the quantum nature of the excitations, whose peculiar dispersion of plasmonic type in one dimension (1D) gives rise to a logarithmic divergence in the group velocity at q = 0. In addition, we show that both the static and dynamic stationary state correlations can be reproduced with a simple generalized Gibbs ensemble despite the long-range character of the interactions which precludes the application of the Lieb-Robinson bounds. We propose a suitable experimental setup in which these effect can be observed based on ultracold ions loaded on linear traps.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/99103
url http://sedici.unlp.edu.ar/handle/10915/99103
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23508
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085137
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1301.3809
info:eu-repo/semantics/altIdentifier/issn/1098-0121
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.87.085137
info:eu-repo/semantics/altIdentifier/arxiv/1301.3809
info:eu-repo/semantics/altIdentifier/hdl/11336/23508
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
85137-85137
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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