The Luttinger model following a sudden interaction switch-on

Details The Luttinger model following a sudden interaction switch-on The Luttinger model following a sudden interaction switch-on

2006-06-09

arxiv.org/abs/cond-mat/0606236v2

Phys. Rev. Lett. 97, 156403 (2006)

Physics

Condensed Matter

Statistical Mechanics

4.3 pages. Typos corrected, added references

Scientific paper

10.1103/PhysRevLett.97.156403

The 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.

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