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, and G. Takács
Phys. Rev. Lett. 113, 117203 – Published 9 September 2014
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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)], 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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  • Received 15 May 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.117203

© 2014 American Physical Society

Authors & Affiliations

B. Pozsgay1, M. Mestyán1, M. A. Werner2, M. Kormos1, G. Zaránd2, and G. Takács1,*

  • 1MTA-BME “Momentum” Statistical Field Theory Research Group, Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Budafoki út 8, Hungary
  • 2MTA-BME “Momentum” Exotic Quantum Phases Research Group, Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Budafoki út 8, Hungary

  • *Corresponding author. takacsg@eik.bme.hu

See Also

Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions

B. Wouters, J. De Nardis, M. Brockmann, D. Fioretto, M. Rigol, and J.-S. Caux
Phys. Rev. Lett. 113, 117202 (2014)

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Vol. 113, Iss. 11 — 12 September 2014

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