{
  "id": "1111.4836",
  "version": "v3",
  "published": "2011-11-21T11:34:47.000Z",
  "updated": "2012-04-13T08:23:46.000Z",
  "title": "Exact relations between particle fluctuations and entanglement in Fermi gases",
  "authors": [
    "Pasquale Calabrese",
    "Mihail Mintchev",
    "Ettore Vicari"
  ],
  "comment": "6 pages",
  "journal": "EPL 98, 20003 (2012)",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We derive exact relations between the Renyi entanglement entropies and the particle number fluctuations of spatial connected regions in systems of N noninteracting fermions in arbitrary dimension. We prove that the asymptotic large-N behavior of the entanglement entropies is proportional to the variance of the particle number. We also consider 1D Fermi gases with a localized impurity, where all particle cumulants contribute to the asymptotic large-N behavior of the entanglement entropies. The particle cumulant expansion turns out to be convergent for all integer-order Renyi entropies (except for the von Neumann entropy) and the first few cumulants provide already a good approximation. Since the particle cumulants are accessible to experiments, these relations may provide a measure of entanglement in these systems.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-04-13T08:23:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact relations",
      "particle fluctuations",
      "asymptotic large-n behavior",
      "particle number",
      "particle cumulant expansion turns"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1209/0295-5075/98/20003",
      "journal": "EPL (Europhysics Letters)",
      "year": 2012,
      "month": "Apr",
      "volume": 98,
      "number": 2,
      "pages": 20003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012EL.....9820003C"
    }
  }
}