{
  "id": "2001.04105",
  "version": "v1",
  "published": "2020-01-13T08:40:48.000Z",
  "updated": "2020-01-13T08:40:48.000Z",
  "title": "Characterization of many-body mobility edges with random matrices",
  "authors": [
    "Xingbo Wei",
    "Rubem Mondaini",
    "Gao Xianlong"
  ],
  "comment": "6+2 pages, 8 figures. Comments welcome",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.quant-gas"
  ],
  "abstract": "Whether the many-body mobility edges can exist in a one-dimensional interacting quantum system is a controversial problem, mainly hampered by the limited system sizes amenable to numerical simulations. We investigate the transition from chaos to localization by constructing a combined random matrix, which has two extremes, one of Gaussian orthogonal ensemble and the other of Poisson statistics, drawn from different distributions. We find that by fixing a scaling parameter, the mobility edges can exist while increasing the matrix dimension $D\\rightarrow\\infty$, depending on the distribution of matrix elements of the diagonal uncorrelated matrix. By applying those results to a specific one-dimensional isolated quantum system of random diagonal elements, we confirm the existence of a many-body mobility edge, connecting it with results on the onset of level repulsion extracted from ensembles of mixed random matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-13T08:40:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body mobility edge",
      "random matrix",
      "specific one-dimensional isolated quantum system",
      "characterization",
      "random diagonal elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}