{
  "id": "0910.1011",
  "version": "v2",
  "published": "2009-10-06T14:17:07.000Z",
  "updated": "2010-03-11T19:33:43.000Z",
  "title": "Universality of the negativity in the Lipkin-Meshkov-Glick model",
  "authors": [
    "H. Wichterich",
    "J. Vidal",
    "S. Bose"
  ],
  "comment": "5 pages, 2 figures, published version",
  "journal": "Phys. Rev. A 81, 032311 (2010)",
  "doi": "10.1103/PhysRevA.81.032311",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "The entanglement between noncomplementary blocks of a many-body system, where a part of the system forms an ignored environment, is a largely untouched problem without analytic results. We rectify this gap by studying the logarithmic negativity between two macroscopic sets of spins in an arbitrary tripartition of a collection of mutually interacting spins described by the Lipkin-Meshkov-Glick Hamiltonian. This entanglement measure is found to be finite and universal at the critical point for any tripartition whereas it diverges for a bipartition. In this limiting case, we show that it behaves as the entanglement entropy, suggesting a deep relation between the scaling exponents of these two independently defined quantities which may be valid for other systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-11T19:33:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Bg",
      "75.10.Jm",
      "03.65.Ud",
      "64.70.Tg"
    ],
    "keywords": [
      "lipkin-meshkov-glick model",
      "universality",
      "deep relation",
      "system forms",
      "analytic results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Mar",
      "volume": 81,
      "number": 3,
      "pages": "032311"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..81c2311W"
    }
  }
}