{
  "id": "0708.1207",
  "version": "v2",
  "published": "2007-08-09T03:28:31.000Z",
  "updated": "2007-08-23T13:01:13.000Z",
  "title": "Entanglement Entropy in the Calogero-Sutherland Model",
  "authors": [
    "Hosho Katsura",
    "Yasuyuki Hatsuda"
  ],
  "comment": "14 pages, 3figures, references added",
  "journal": "J.Phys.A40:13931,2007",
  "doi": "10.1088/1751-8113/40/46/007",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We investigate the entanglement entropy between two subsets of particles in the ground state of the Calogero-Sutherland model. By using the duality relations of the Jack symmetric polynomials, we obtain exact expressions for both the reduced density matrix and the entanglement entropy in the limit of an infinite number of particles traced out. From these results, we obtain an upper bound value of the entanglement entropy. This upper bound has a clear interpretation in terms of fractional exclusion statistics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-23T13:01:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "02.50.-r",
      "03.67.Mn"
    ],
    "keywords": [
      "entanglement entropy",
      "calogero-sutherland model",
      "fractional exclusion statistics",
      "jack symmetric polynomials",
      "upper bound value"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2007,
      "month": "Nov",
      "volume": 40,
      "number": 46,
      "pages": 13931
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 767076,
      "adsabs": "2007JPhA...4013931K"
    }
  }
}