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Approximate conservation laws in perturbed integrable lattice models

Marcin Mierzejewski, Tomaž Prosen, and Peter Prelovšek
Phys. Rev. B 92, 195121 – Published 11 November 2015

Abstract

We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables. Applying the algorithm to the perturbed XXZ model, we find that the main effect of perturbation consists in expanding the support of conserved quantities. This expansion follows quadratic dependence on the strength of perturbation. The latter result, together with correlation functions of conserved quantities obtained from the memory function analysis, confirms the feasibility of the perturbation theory.

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  • Received 17 August 2015
  • Revised 5 October 2015

DOI:https://doi.org/10.1103/PhysRevB.92.195121

©2015 American Physical Society

Authors & Affiliations

Marcin Mierzejewski1, Tomaž Prosen2, and Peter Prelovšek2,3

  • 1Institute of Physics, University of Silesia, 40-007 Katowice, Poland
  • 2Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
  • 3J. Stefan Institute, SI-1000 Ljubljana, Slovenia

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Issue

Vol. 92, Iss. 19 — 15 November 2015

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