{
  "annotation_id": "326b4d1d-cff4-4e71-8659-25710ad248be",
  "date_created": "2026-03-02T18:02:36.798000Z",
  "date_modified": "2026-03-02T18:02:36.798000Z",
  "file_hash": "a9c55cf755c42429f235742037b7a411eaacce1649e101d4220eebaf33a669af",
  "private": false,
  "record": {
    "abstract": "In the framework of the Lindblad theory for open quantum systems, a master\nequation for the quantum harmonic oscillator interacting with a dissipative\nenvironment, in particular with a thermal bath, is derived for the case when\nthe interaction is based on deformed algebra. The equations of motion for\nobservables strongly depend on the deformation function. The expectation values\nof the number operator and squared number operator are calculated in the limit\nof a small deformation parameter for the case of zero temperature of the\nthermal bath. The steady state solution of the equation for the density matrix\nin the number representation is obtained and its independence of the\ndeformation is shown.",
    "arxiv_id": "quant-ph/0703165",
    "authors": [
      "A. Isar",
      "A. Sandulescu",
      "W. Scheid"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0378-4371(02)01828-9",
    "journal_ref": "Physica A 322, 233 (2003)",
    "title": "Lindblad master equation for the damped harmonic oscillator with   deformed dissipation",
    "url": "https://arxiv.org/abs/quant-ph/0703165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ea45688-d8dc-4c38-aa2e-aaeb5bc8a1b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}