{
  "id": "1108.6224",
  "version": "v3",
  "published": "2011-08-31T13:28:55.000Z",
  "updated": "2011-09-27T14:26:05.000Z",
  "title": "Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain",
  "authors": [
    "B. Pozsgay"
  ],
  "comment": "23 pages, 2 figures, v2: minor modifications and references added",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "hep-th"
  ],
  "abstract": "We consider the K-body local correlations in the (repulsive) 1D Bose gas for general K, both at finite size and in the thermodynamic limit. Concerning the latter we develop a multiple integral formula which applies for arbitrary states of the system with a smooth distribution of Bethe roots, including the ground state and finite temperature Gibbs-states. In the cases K<=4 we perform the explicit factorization of the multiple integral. In the case of K=3 we obtain the recent result of Kormos et.al., whereas our formula for K=4 is new. Numerical results are presented as well.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-27T14:26:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "1d bose gas",
      "xxz chain",
      "scaling limit",
      "k-body local correlations",
      "multiple integral formula"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2011/11/P11017",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Nov",
      "volume": 2011,
      "number": 11,
      "pages": 11017
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 925955,
      "adsabs": "2011JSMTE..11..017P"
    }
  }
}