Multiple relaxation times in perturbed XXZ chain

Mierzejewski, Marcin; Pawłowski, Jakub; Prelovšek, Peter; Herbrych, Jacek

doi:10.21468/SciPostPhys.13.2.013

SciPost Physics

Multiple relaxation times in perturbed XXZ chain

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

SciPost Phys. 13, 013 (2022) · published 5 August 2022

doi: 10.21468/SciPostPhys.13.2.013
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Abstract

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 $g$.

This publication has been updated

Correction: Multiple relaxation times in perturbed XXZ chain on 2022-08-10

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.2.013
TI  - Multiple relaxation times in perturbed XXZ chain
PY  - 2022/08/05
UR  - https://www.scipost.org/SciPostPhys.13.2.013
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 2
SP  - 013
A1  - Mierzejewski, Marcin
AU  - Pawłowski, Jakub
AU  - Prelovšek, Peter
AU  - Herbrych, Jacek
AB  - 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 $g$.
ER  -

@Article{10.21468/SciPostPhys.13.2.013,
	title={{Multiple relaxation times in perturbed XXZ chain}},
	author={M. Mierzejewski and J. Pawłowski and P. Prelovšek and J. Herbrych},
	journal={SciPost Phys.},
	volume={13},
	pages={013},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.2.013},
	url={https://scipost.org/10.21468/SciPostPhys.13.2.013},
}

Cited by 4

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¹ Marcin Mierzejewski,
¹ Jakub Pawłowski,
² ³ Peter Prelovšek,
¹ Jacek Herbrych

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