Quantum quench dynamics of the Luttinger model

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one- and two-point correlation functions for two types of quenches: from a noninteracting to an interacting Luttinger model and vice versa. In the former case, the noninteracting Fermi gas features in the mom...

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Autores principales: Iucci, Carlos Aníbal, Cazalilla, Miguel A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126229
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id I19-R120-10915-126229
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Distribution (mathematics)
Physics
Critical exponent
Canonical ensemble
Normal mode
Momentum
Quantum mechanics
Quantum
Fermi gas
Power law
spellingShingle Física
Distribution (mathematics)
Physics
Critical exponent
Canonical ensemble
Normal mode
Momentum
Quantum mechanics
Quantum
Fermi gas
Power law
Iucci, Carlos Aníbal
Cazalilla, Miguel A.
Quantum quench dynamics of the Luttinger model
topic_facet Física
Distribution (mathematics)
Physics
Critical exponent
Canonical ensemble
Normal mode
Momentum
Quantum mechanics
Quantum
Fermi gas
Power law
description The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one- and two-point correlation functions for two types of quenches: from a noninteracting to an interacting Luttinger model and vice versa. In the former case, the noninteracting Fermi gas features in the momentum distribution and other correlation functions are destroyed as time evolves. In the infinite-time limit, equal-time correlations are power laws but the critical exponents are found to differ from their equilibrium values. In all cases, we find that these correlations are well described by a generalized Gibbs ensemble [M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. 98, 050405 (2007)], which assigns a momentum-dependent temperature to each eigenmode.
format Articulo
Articulo
author Iucci, Carlos Aníbal
Cazalilla, Miguel A.
author_facet Iucci, Carlos Aníbal
Cazalilla, Miguel A.
author_sort Iucci, Carlos Aníbal
title Quantum quench dynamics of the Luttinger model
title_short Quantum quench dynamics of the Luttinger model
title_full Quantum quench dynamics of the Luttinger model
title_fullStr Quantum quench dynamics of the Luttinger model
title_full_unstemmed Quantum quench dynamics of the Luttinger model
title_sort quantum quench dynamics of the luttinger model
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/126229
work_keys_str_mv AT iuccicarlosanibal quantumquenchdynamicsoftheluttingermodel
AT cazalillamiguela quantumquenchdynamicsoftheluttingermodel
bdutipo_str Repositorios
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