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 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.A.I. gratefully acknowledges financial support from the Swiss National Science Foundation under MaNEP and Division II, CONICET, UNLP, and hospitality of DIPC, where part of this work was done. M.A.C. thanks M. Ueda for his kind hospitality at the University of Tokyo during his visit at the Ueda ERATO Macroscopic Quantum Control Project of JST -Japan, during which parts of this paper were completed. M.A.C. also gratefully acknowledges financial support of the Spanish MEC through Grant No. FIS2007- 66711-C02-02 and CSIC through Grant No. PIE 200760/007.Peer reviewe