Quantum quench dynamics of the Coulomb Luttinger model

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 stat...

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Detalles Bibliográficos
Autores principales: Nessi, Emilio Nicolás, Iucci, Carlos Aníbal
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Luttinger
Coulomb
Quench
Lightcone
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99103
https://ri.conicet.gov.ar/11336/23508
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085137
https://arxiv.org/abs/1301.3809
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99103
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Luttinger
Coulomb
Quench
Lightcone
spellingShingle Física
Luttinger
Coulomb
Quench
Lightcone
Nessi, Emilio Nicolás
Iucci, Carlos Aníbal
Quantum quench dynamics of the Coulomb Luttinger model
topic_facet Física
Luttinger
Coulomb
Quench
Lightcone
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.
format Articulo
Articulo
author Nessi, Emilio Nicolás
Iucci, Carlos Aníbal
author_facet Nessi, Emilio Nicolás
Iucci, Carlos Aníbal
author_sort Nessi, Emilio Nicolás
title Quantum quench dynamics of the Coulomb Luttinger model
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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/99103
https://ri.conicet.gov.ar/11336/23508
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.085137
https://arxiv.org/abs/1301.3809
work_keys_str_mv AT nessiemilionicolas quantumquenchdynamicsofthecoulombluttingermodel
AT iuccicarlosanibal quantumquenchdynamicsofthecoulombluttingermodel
bdutipo_str Repositorios
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