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Slow propagation of information on the random XXZ quantum spin chain

Mathematical Physics 2025-02-10 v3 Disordered Systems and Neural Networks math.MP

Abstract

The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is shown that this property implies slow propagation of information, one of the putative signatures of many-body localization, in the same energy interval.

Keywords

Cite

@article{arxiv.2311.14188,
  title  = {Slow propagation of information on the random XXZ quantum spin chain},
  author = {Alexander Elgart and Abel Klein},
  journal= {arXiv preprint arXiv:2311.14188},
  year   = {2025}
}

Comments

23 pages, no figures