{
  "annotation_id": "9ebd9806-744a-485f-90e2-b8ba27c3eb29",
  "date_created": "2026-03-02T18:02:20.423000Z",
  "date_modified": "2026-03-02T18:02:20.423000Z",
  "file_hash": "a3fb56005edcd5d92581cddc4fc723c95c5ae621454e1e9b241483d5e3c522ee",
  "private": false,
  "record": {
    "abstract": "Time evolution of the expectation values of various dynamical operators of\nthe harmonic oscillator with dissipation is analitically obtained within the\nframework of the Lindblad theory for open quantum systems. We deduce the\ndensity matrix of the damped harmonic oscillator from the solution of the\nFokker-Planck equation for the coherent state representation, obtained from the\nmaster equation for the density operator. The Fokker-Planck equation for the\nWigner distribution function, subject to either the Gaussian type or the\n$\\delta$-function type of initial conditions, is also solved by using the\nWang-Uhlenbeck method. The obtained Wigner functions are two-dimensional\nGaussians with different widths.",
    "arxiv_id": "quant-ph/0508140",
    "authors": [
      "A. Isar"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Helv. Phys. Acta 67 (1994) 436-449",
    "title": "The harmonic oscillator with dissipation within the theory of open   quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0508140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "782c6e26-5d0c-4c70-b7f0-fad185ace502",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}