{
  "id": "cond-mat/0507086",
  "version": "v4",
  "published": "2005-07-04T19:16:35.000Z",
  "updated": "2006-02-20T09:43:16.000Z",
  "title": "Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures",
  "authors": [
    "Alexander Yu. Cherny",
    "Joachim Brand"
  ],
  "comment": "13 pages, 5 figures, the journal version",
  "journal": "Phys. Rev. A 73, 023612 (2006)",
  "doi": "10.1103/PhysRevA.73.023612",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential Hamiltonian. The Hartree-Fock and generalized random phase approximations are derived and the dynamic polarizability is calculated. The results are valid to first order in 1/\\gamma where \\gamma is Lieb-Liniger coupling parameter. Approximations for the dynamic and static structure factor at finite temperature are presented. The results preclude superfluidity at any finite temperature in the large-\\gamma regime due to the Landau criterion. Due to the exact Bose-Fermi duality, the results apply for spinless fermions with weak p-wave interactions as well as for strongly interacting bosons.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-02-20T09:43:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional bose gas",
      "finite temperature",
      "dynamic structure factor",
      "tonks-girardeau limit",
      "polarizability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}