Correlations after quantum quenches in the XXZ Spin Chain: Failure of the generalized Gibbs ensemble

B. Pozsgay, M. Mestyán, M. A. Werner, M. Kormos, G. Zaránd, G. Takács

Research output: Contribution to journalArticle

180 Citations (Scopus)

Abstract

We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Néel 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)PRLTAO0031-900710.1103/PhysRevLett.110.257203], 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.

Original languageEnglish
Article number117203
JournalPhysical review letters
Volume113
Issue number11
DOIs
Publication statusPublished - Sep 12 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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