{
  "annotation_id": "7f86153a-81f5-4bde-9131-304196ed9017",
  "date_created": "2026-03-02T18:02:13.803000Z",
  "date_modified": "2026-03-02T18:02:13.803000Z",
  "file_hash": "8e737b9a51d0448a073b2749c5fcf424404e35f0a46e4e64782c72f0fe100ae4",
  "private": false,
  "record": {
    "abstract": "The damping of the harmonic oscillator is studied in the framework of the\nLindblad theory for open quantum systems. A generalization of the fundamental\nconstraints on quantum mechanical diffusion coefficients which appear in the\nmaster equation for the damped quantum oscillator is presented; the\nSchr\\\"odinger, Heisenberg and Weyl-Wigner-Moyal representations of the Lindblad\nequation are given explicitly. On the basis of these representations it is\nshown that various master equations for the damped quantum oscillator used in\nthe literature are particular cases of the Lindblad equation and that not all\nof these equations are satisfying the constraints on quantum mechanical\ndiffusion coefficients. The master equation is transformed into Fokker-Planck\nequations for quasiprobability distributions and a comparative study is made\nfor the Glauber $P$ representation, the antinormal ordering $Q$ representation\nand the Wigner $W$ representation. The density matrix is represented via a\ngenerating function, which is obtained by solving a time-dependent linear\npartial differential equation derived from the master equation. The damped\nharmonic oscillator is applied for the description of the charge equilibration\nmode observed in deep inelastic reactions. For a system consisting of two\nharmonic oscillators the time dependence of expectation values, Wigner function\nand Weyl operator are obtained and discussed. In addition models for the\ndamping of the angular momentum are studied. Using this theory to the quantum\ntunneling through the nuclear barrier, besides Gamow\u0027s transitions with energy\nconservation, additional transitions with energy loss, are found. When this\ntheory is used to the resonant atom-field interaction, new optical equations\ndescribing the coupling through the environment are obtained.",
    "arxiv_id": "quant-ph/0411189",
    "authors": [
      "A. Isar",
      "A. Sandulescu",
      "H. Scutaru",
      "E. Stefanescu",
      "W. Scheid"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0218301394000164",
    "journal_ref": "Int. J. Mod. Phys. E, Vol. 3, No. 2 (1994) 635",
    "title": "Open quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0411189"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92e5ed43-bee3-47fe-b57e-fae331087113",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}