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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/99103
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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) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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application/pdf 85137-85137 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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