{
  "annotation_id": "76ab6c47-0d9f-46f1-b4b3-8e16b3e1b7f9",
  "date_created": "2026-03-02T18:02:36.799000Z",
  "date_modified": "2026-03-02T18:02:36.799000Z",
  "file_hash": "0bcd5bf2d1cb287290ba94d60f9fd38c105a5e7c748d3070e96aaab273cb05f8",
  "private": false,
  "record": {
    "abstract": "A master equation for the deformed quantum harmonic oscillator interacting\nwith a dissipative environment, in particular with a thermal bath, is derived\nin the microscopic model by using perturbation theory, for the case when the\ninteraction is deformed. The coefficients of the master equation and of\nequations of motion for observables depend on the deformation function. The\nsteady state solution of the equation for the density matrix in the number\nrepresentation is obtained and shown that it satisfies the detailed balance\ncondition. The equilibrium energy of the deformed harmonic oscillator,\ncalculated in the approximation of small deformation, does not depend on the\ndeformation of interaction operators.",
    "arxiv_id": "quant-ph/0703166",
    "authors": [
      "A. Isar",
      "W. Scheid"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physa.2003.12.017",
    "journal_ref": "Physica A 335, 79 (2004)",
    "title": "Deformation of quantum oscillator and of its interaction with   environment",
    "url": "https://arxiv.org/abs/quant-ph/0703166"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b484f92-882b-49f6-ae25-50a82efe7ad6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}