2011/04/01 by Pasquale Calabrese, Fabian H. L. Essler, Maurizio Fagotti · 1 citation
Physics and Astronomy · #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.106.227203
published as Phys. Rev. Lett. 106, 227203 (2011) · 4 pages, 1 figure
arxiv created 2011/04/01 · arxiv updated 2011/06/03
We consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.