{
  "id": "1906.11954",
  "version": "v1",
  "published": "2019-06-27T20:43:32.000Z",
  "updated": "2019-06-27T20:43:32.000Z",
  "title": "Bounded entanglement entropy in the quantum Ising model",
  "authors": [
    "Geoffrey Grimmett",
    "Tobias Osborne",
    "Petra Scudo"
  ],
  "comment": "Continuation of arXiv:0704.2981",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of the arguments in the earlier work by the same authors (J. Statist. Phys. 131 (2008) 305-339). The proof is geometrical, and utilises a transformation to a model of classical probability called the continuum random-cluster model. Our method of proof is fairly robust, and applies also to certain disordered systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-27T20:43:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "60K35"
    ],
    "keywords": [
      "bounded entanglement entropy",
      "continuum random-cluster model",
      "sufficiently strong transverse field",
      "one-dimensional quantum ising model",
      "ground state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}