{
  "id": "1206.4829",
  "version": "v1",
  "published": "2012-06-21T10:46:05.000Z",
  "updated": "2012-06-21T10:46:05.000Z",
  "title": "Entanglement measures and the quantum to classical mapping",
  "authors": [
    "J. Sirker"
  ],
  "comment": "5 pages",
  "journal": "J. Stat. Mech. (2012) P12012",
  "doi": "10.1088/1742-5468/2012/12/P12012",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "A quantum model can be mapped to a classical model in one higher dimension. Here we introduce a finite-temperature correlation measure based on a reduced density matrix rho_A obtained by cutting the classical system along the imaginary time (inverse temperature) axis. We show that the von-Neumann entropy S_ent of rho_A shares many properties with the mutual information, yet is based on a simpler geometry and is thus easier to calculate. For one-dimensional quantum systems in the thermodynamic limit we proof that S_ent is non-extensive for all temperatures T. For the integrable transverse Ising and XXZ models we demonstrate that the entanglement spectra of rho_A in the limit T-> 0 are described by free-fermion Hamiltonians and reduce to those of the regular reduced density matrix---obtained by a spatial instead of an imaginary-time cut---up to degeneracies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-21T10:46:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement measures",
      "classical mapping",
      "finite-temperature correlation measure",
      "one-dimensional quantum systems",
      "higher dimension"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2012,
      "month": "Dec",
      "volume": 2012,
      "number": 12,
      "pages": 12012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JSMTE..12..012S"
    }
  }
}