{
  "id": "1912.02041",
  "version": "v1",
  "published": "2019-12-04T15:07:45.000Z",
  "updated": "2019-12-04T15:07:45.000Z",
  "title": "The Quantum Random Energy Model as a Limit of p-Spin Interactions",
  "authors": [
    "Chokri Manai",
    "Simone Warzel"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the free energy of a mean-field quantum spin glass described by a $ p $-spin interaction and a transversal magnetic field. Recent rigorous results for the case $ p= \\infty $, i.e. the quantum random energy model (QREM), are reviewed. We show that the free energy of the $ p $-spin model converges in a joint thermodynamic and $ p \\to \\infty $ limit to the free energy of the QREM.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-04T15:07:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82D30",
      "82B44"
    ],
    "keywords": [
      "quantum random energy model",
      "p-spin interactions",
      "free energy",
      "mean-field quantum spin glass",
      "transversal magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}