{
  "id": "1011.4421",
  "version": "v3",
  "published": "2010-11-19T13:08:59.000Z",
  "updated": "2010-11-29T14:35:29.000Z",
  "title": "Mutual information in classical spin models",
  "authors": [
    "Johannes Wilms",
    "Matthias Troyer",
    "Frank Verstraete"
  ],
  "journal": "J. Stat. Mech. (2011) P10011",
  "doi": "10.1088/1742-5468/2011/10/P10011",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions, the total correlations are not maximal at the phase transition, but reach a maximum in the high temperature paramagnetic phase. The Shannon and Renyi mutual information in both Ising and Potts models in 2 dimensions are calculated numerically by combining matrix product states algorithms and Monte Carlo sampling techniques.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-29T14:35:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutual information",
      "classical spin models",
      "combining matrix product states algorithms",
      "finite temperature classical spin systems",
      "zero-temperature quantum phase transitions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Oct",
      "volume": 2011,
      "number": 10,
      "pages": 10011
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..10..011W"
    }
  }
}