{
  "id": "0704.2981",
  "version": "v1",
  "published": "2007-04-23T12:05:14.000Z",
  "updated": "2007-04-23T12:05:14.000Z",
  "title": "Entanglement in the quantum Ising model",
  "authors": [
    "Geoffrey Grimmett",
    "Tobias Osborne",
    "Petra Scudo"
  ],
  "doi": "10.1007/s10955-008-9502-6",
  "categories": [
    "quant-ph",
    "math.PR"
  ],
  "abstract": "We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most logarithmically in the number of spins. The proof utilises a transformation to a model of classical probability called the continuum random-cluster model, and is based on a property of the latter model termed ratio weak-mixing. Our proof applies equally to a large class of disordered interactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-23T12:05:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional quantum ising model",
      "continuum random-cluster model",
      "large class",
      "transverse field",
      "entanglement grows"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2008,
      "month": "Apr",
      "volume": 131,
      "number": 2,
      "pages": 305
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JSP...131..305G"
    }
  }
}