{
  "id": "1702.01729",
  "version": "v1",
  "published": "2017-02-06T18:11:31.000Z",
  "updated": "2017-02-06T18:11:31.000Z",
  "title": "Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential",
  "authors": [
    "Alvise Bastianello",
    "Mario Collura",
    "Spyros Sotiriadis"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas"
  ],
  "abstract": "We consider the general problem of quenching an interacting Bose gas from the noninteracting regime to the strong repulsive case described by the Tonks-Girardeau limit, with the initial state being a gaussian ensemble for the bosons. A generic multi-point correlation function in the steady state can be fully described in terms of a Fredholm-like determinant suitable both for a numerical study and for an analytical study in certain limiting cases. Finally, we extend the study to the presence of a smooth confining potential showing that, in the thermodynamic limit, the time evolution of the two-point function can be mapped to a classical problem in a properly defined phase-space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-06T18:11:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "confining potential",
      "stationary states",
      "tonks-girardeau gas",
      "gaussian bosons",
      "generic multi-point correlation function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}