Joint ICTP/SISSA Colloquium on Condensed Matter Physics: "Quantum quench in the transverse field ising chain "
Starts 27 Apr 2011 17:30
Ends 27 Apr 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
I consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. I present exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. These results are based on two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. I show 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. Generalizations to particular quenches in other integrable models are discussed.