The Luttinger model following a sudden interaction switch-on

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dc.creatorCazalilla, M. A.
dc.date2006-06-09
dc.date2006-06-19
dc.date.accessioned2026-07-07T07:12:33Z
dc.date.available2026-07-07T07:12:33Z
dc.descriptionThe evolution of correlations in the \emph{exactly} solvable Luttinger model (a model of interacting fermions in one dimension) after a sudden interaction switch-on is \emph{analytically} studied. When the model is defined on a finite-size ring, zero-temperature correlations are periodic in time. However, in the thermodynamic limit, the system relaxes algebraically towards a stationary state which is well described, at least for some simple correlation functions, by the generalized Gibbs ensemble recently introduced by Rigol \emph{et al.} [cond-mat/0604476]. The critical exponent that characterizes the decay of the one-particle correlation function is different from the known equilibrium exponents. Experiments for which these results can be relevant are also discussed.
dc.description4.3 pages. Typos corrected, added references
dc.identifierhttps://arxiv.org/abs/cond-mat/0606236
dc.identifierhttp://arxiv.org/abs/cond-mat/0606236
dc.identifierPhys. Rev. Lett. 97, 156403 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.156403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112112
dc.subjectStatistical Mechanics
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe Luttinger model following a sudden interaction switch-on
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