{
  "id": "2203.01472",
  "version": "v1",
  "published": "2022-03-03T01:05:02.000Z",
  "updated": "2022-03-03T01:05:02.000Z",
  "title": "Moments dynamics and stationary states for classical diffusion-type GKSL equations",
  "authors": [
    "D. D. Ivanov",
    "A. E. Teretenkov"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "The explicit dynamics of the moments for the GKSL equation and the approach in finding stationary Gaussian states are obtained. In our case the GKSL equation corresponds to Wiener stochastic processes. Such equations contain a double commutator which can be understood as a quantum analog of the second spatial derivative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-03T01:05:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81S22",
      "82C31",
      "81Q05",
      "81Q80"
    ],
    "keywords": [
      "classical diffusion-type gksl equations",
      "stationary states",
      "moments dynamics",
      "gksl equation corresponds",
      "finding stationary gaussian states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}