We consider the time evolution of observables in the transverse-field Ising chain 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.
|Titolo:||Quantum quench in the transverse-field ising chain|
|Autori:||Calabrese, Pasquale; Essler, Fhl; Fagotti, M.|
|Data di pubblicazione:||2011|
|Numero di Articolo:||227203|
|Digital Object Identifier (DOI):||10.1103/PhysRevLett.106.227203|
|Appare nelle tipologie:||1.1 Journal article|