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Multiple relaxation times in perturbed XXZ chain
by M. Mierzejewski, J. Pawłowski, P. Prelovšek, J. Herbrych
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
scipost_202112_00036v2
(pdf)
|
| Date accepted: |
2022-07-22 |
| Date submitted: |
2022-05-21 19:56 |
| Submitted by: |
Herbrych, Jacek |
| Submitted to: |
SciPost Physics |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
|
| Approaches: |
Theoretical, Computational |
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 $g$.
