Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain

Details Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain

2011-05-16

arxiv.org/abs/1105.3176v2

J. Stat. Mech. (2011) P07015

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures, published version

Scientific paper

10.1088/1742-5468/2011/07/P07015

We investigate the out-of-equilibrium dynamics of the one-dimensional quantum Ising model after a sudden quench of the transverse magnetic field. While for a translationally invariant system the statistical description of the asymptotic order parameter correlations after the quench can be performed in terms of the generalized Gibbs ensemble, we show that a breaking of translational invariance, e.g., by perturbing the boundary conditions, disrupts its validity. This effect, which of course vanishes in the thermodynamic limit, is shown to be very important in the presence of disorder.

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