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Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble

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arxiv 1405.2843 v2 pith:XXDGYA4Q submitted 2014-05-12 cond-mat.stat-mech nlin.SI

Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble

B. Pozsgay , M. Mesty\'an , M. A. Werner , M. Kormos , G. Zar\'and , G. Tak\'acs This is my paper
classification cond-mat.stat-mech nlin.SI
keywords spinchaincorrelatorsensemblefindformalismgeneralizedgibbs
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Neel states as initial states. We investigate numerically various short-ranged spin correlators in the long-time limit and find that they deviate significantly from predictions based on the generalized Gibbs ensemble (GGE) hypotheses. By computing the asymptotic spin correlators within the recently proposed quench-action formalism [Phys. Rev. Lett. 110, 257203 (2013)], however, we find excellent agreement with the numerical data. We, therefore, conclude that the GGE cannot give a complete description even of local observables, while the quench-action formalism correctly captures the steady state in this case.

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