Dynamical Correlations after a Quantum Quench
arXiv:1208.1961 · doi:10.1103/PhysRevLett.109.247206
Abstract
In many integrable models static (equal time) correlation functions of local observables after a quantum quench relax to stationary values, which are described by a generalized Gibbs ensemble (GGE). Here we establish that the same holds true for dynamic (non equal time) correlation functions. More generally we show that in the absence of long-range interactions in the final Hamiltonian, the dynamics is determined by the same ensemble that describes static correlations. When the latter is a GGE the basic form of the fluctuation dissipation theorem holds, although the absorption and emission spectra are not simply related as in the thermal case. For quenches in the transverse field Ising chain (TFIC) we derive explicit expressions for the time evolution of dynamic order parameter correlators after a quench.
6 pages, 3 figures
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- Finite-size corrections vs. relaxation after a sudden quench
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- The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics
- Quantum Correlations in Field Theory and Integrable Systems