{
  "id": "1305.1239",
  "version": "v2",
  "published": "2013-05-06T16:30:14.000Z",
  "updated": "2013-07-15T17:40:53.000Z",
  "title": "Universal behavior of the Shannon mutual information of critical quantum chains",
  "authors": [
    "F. C. Alcaraz",
    "M. A. Rajabpour"
  ],
  "comment": "5 pages, 5 figures",
  "journal": "Phys. Rev. Lett. 111, 017201 (2013)",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its finite-size behavior yields the conformal anomaly $c$ of the underlying conformal field theory governing the long distance physics of the quantum chain. We studied analytically a chain of coupled harmonic oscillators and numerically the Q-state Potts models ($Q = 2$; 3 and 4), the XXZ quantum chain and the spin-1 Fateev-Zamolodchikov model. The Shannon mutual information is a quantity easily computed, and our results indicate that for relatively small lattice sizes its finite-size behavior already detects the universality class of quantum critical behavior.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-15T17:40:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.70.Cf",
      "11.25.Hf",
      "03.67.Mn",
      "75.10.Pq"
    ],
    "keywords": [
      "shannon mutual information",
      "critical quantum chains",
      "universal behavior",
      "conformal field theory governing",
      "finite-size behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "doi": "10.1103/PhysRevLett.111.017201",
      "year": 2013,
      "month": "Jul",
      "volume": 111,
      "number": 1,
      "pages": "017201"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1232114,
      "adsabs": "2013PhRvL.111a7201A"
    }
  }
}