{
  "id": "1903.04676",
  "version": "v1",
  "published": "2019-03-12T00:34:03.000Z",
  "updated": "2019-03-12T00:34:03.000Z",
  "title": "Exceptional points of the Lindblad operator of a two-level system",
  "authors": [
    "Naomichi Hatano"
  ],
  "comment": "12 pages, 4 figures, Accepted for publication in Molecular Physics as a paper for the special issue \"QUANTUM DYNAMICS AND RESO- NANCES IN CHEMISTRY AND PHYSICS\" dedicated to Prof. Nimrod Moiseyev",
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Lindblad equation for a two-level system under an electric field is analyzed by mapping to a linear equation with a non-Hermitian matrix. Exceptional points of the matrix are found to be extensive; the second-order ones are located on lines in a two-dimensional parameter space, while the third-order one is at a point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-12T00:34:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exceptional points",
      "two-level system",
      "lindblad operator",
      "two-dimensional parameter space",
      "lindblad equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}