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Multiple relaxation times in perturbed XXZ chain

by M. Mierzejewski, J. Pawłowski, P. Prelovšek, J. Herbrych

Submission summary

As Contributors: Jacek Herbrych
Preprint link: scipost_202112_00036v2
Date submitted: 2022-05-21 19:56
Submitted by: Herbrych, Jacek
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational


We study numerically the relaxation of correlation functions in weakly perturbed integrable XXZ chain. While the decay of spin-current and energy-current correlations at zero magnetization are well described by single, but quite distinct, relaxation rates governed by the square of the perturbation strength $g$, the correlations at finite magnetization reveal multiple relaxation rates. The result can be understood in terms of decays of several quantities, conserved in the reference integrable system. On the other hand, the correlations of non-commuting quantities, being conserved at particular anisotropies $\Delta$, decay non-exponentially with characteristic time scale linear in $g$.

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