{
  "id": "1404.4103",
  "version": "v1",
  "published": "2014-04-15T22:48:42.000Z",
  "updated": "2014-04-15T22:48:42.000Z",
  "title": "Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian",
  "authors": [
    "Dimitry Ginzburg",
    "Ady Mann"
  ],
  "comment": "This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-8-1648 Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law",
  "journal": "Appl. Opt. 53, 1648-1657 (2014)",
  "doi": "10.1364/AO.53.001648",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A Lie algebraic method for propagation of the Wigner quasi-distribution function under quadratic Hamiltonian was presented by Zoubi and Ben-Aryeh. We show that the same method can be used in order to propagate a rather general class of quasi distribution functions, which we call \"Gaussian class\". This class contains as special cases the well-known Wigner, Husimi, Glauber and Kirkwood-Rihaczek quasi-distribution functions. We present some examples of the calculation of the time-evolution of those functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-15T22:48:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic hamiltonian",
      "gaussian class",
      "time evolution",
      "quasi distribution functions",
      "lie algebraic method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Applied Optics",
      "year": 2014,
      "month": "Mar",
      "volume": 53,
      "number": 8,
      "pages": 1648
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014ApOpt..53.1648G"
    }
  }
}