{
  "id": "1807.05075",
  "version": "v1",
  "published": "2018-07-13T13:43:29.000Z",
  "updated": "2018-07-13T13:43:29.000Z",
  "title": "Random Matrix Ensemble for the Level Statistics of Many-Body Localization",
  "authors": [
    "Wouter Buijsman",
    "Vadim Cheianov",
    "Vladimir Gritsev"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "cond-mat.dis-nn",
    "nlin.CD"
  ],
  "abstract": "We numerically study the level statistics of the Gaussian $\\beta$ ensemble. These statistics generalize Wigner-Dyson level statistics from the discrete set of Dyson indices $\\beta = 1,2,4$ to the continuous range $0 < \\beta < \\infty$. The Gaussian $\\beta$ ensemble covers Poissonian level statistics for $\\beta \\to 0$, and provides a smooth interpolation between Poissonian and Wigner-Dyson level statistics. We establish the physical relevance of the level statistics of the Gaussian $\\beta$ ensemble by showing near-perfect agreement with the level statistics of a paradigmatic model in studies on many-body localization over the entire crossover range from the thermal to the many-body localized phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-13T13:43:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random matrix ensemble",
      "many-body localization",
      "statistics generalize wigner-dyson level statistics",
      "ensemble covers poissonian level statistics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}