{
  "id": "1703.07483",
  "version": "v1",
  "published": "2017-03-22T01:28:56.000Z",
  "updated": "2017-03-22T01:28:56.000Z",
  "title": "Many-body localization in the droplet spectrum of the random XXZ quantum spin chain",
  "authors": [
    "Alexander Elgart",
    "Abel Klein",
    "Günter Stolz"
  ],
  "comment": "33 pages, no figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "We study many-body localization properties of the disordered XXZ spin chain in the Ising phase. Disorder is introduced via a random magnetic field in the $z$-direction. We prove a strong form of exponential clustering for eigenstates in the droplet spectrum: For any pair of local observables separated by a distance $\\ell$, the sum of the associated correlators over these states decays exponentially in $\\ell$, in expectation. Our result applies to the large disorder regime as well as to the strong Ising phase at fixed disorder, with bounds independent of the support of the observables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-22T01:28:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44"
    ],
    "keywords": [
      "random xxz quantum spin chain",
      "droplet spectrum",
      "study many-body localization properties",
      "disordered xxz spin chain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}