Correlations and diagonal entropy after quantum quenches in XXZ chains

Lorenzo Piroli, Eric Vernier, Pasquale Calabrese, and Marcos Rigol
Phys. Rev. B 95, 054308 – Published 23 February 2017

Abstract

We study quantum quenches in the XXZ spin-1/2 Heisenberg chain from families of ferromagnetic and antiferromagnetic initial states. Using Bethe ansatz techniques, we compute short-range correlators in the complete generalized Gibbs ensemble (GGE), which takes into account all local and quasilocal conservation laws. We compare our results to exact diagonalization and numerical linked cluster expansion calculations for the diagonal ensemble, finding excellent agreement and thus providing a very accurate test for the validity of the complete GGE. Furthermore, we use exact diagonalization to compute the diagonal entropy in the postquench steady state. We show that the Yang-Yang entropy for the complete GGE is consistent with twice the value of the diagonal entropy in the largest chains or the extrapolated result in the thermodynamic limit. Finally, the complete GGE is quantitatively contrasted with the GGE built using only the local conserved charges (local GGE). The predictions of the two ensembles are found to differ significantly in the case of ferromagnetic initial states. Such initial states are better suited than others considered in the literature to experimentally test the validity of the complete GGE and contrast it to the failure of the local GGE.

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  • Received 27 November 2016
  • Revised 16 January 2017

DOI:https://doi.org/10.1103/PhysRevB.95.054308

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Lorenzo Piroli1, Eric Vernier1, Pasquale Calabrese1, and Marcos Rigol2

  • 1SISSA and INFN, via Bonomea 265, 34136 Trieste, Italy
  • 2Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA

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Issue

Vol. 95, Iss. 5 — 1 February 2017

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