{
  "annotation_id": "b54dfded-3f5e-4f40-876b-68adef916b64",
  "date_created": "2026-03-02T18:02:34.055000Z",
  "date_modified": "2026-03-02T18:02:34.055000Z",
  "file_hash": "409f37b64a441935e8ac4811780336e886655898407a45ce05c4b92bc074d470",
  "private": false,
  "record": {
    "abstract": "In the framework of the Lindblad theory for open quantum systems, we derive\nclosed analytical expressions of the Heisenberg and Schr\\\"odinger generalized\nuncertainty functions for a particle moving in a harmonic oscillator potential.\nThe particle is initially in an arbitrary correlated coherent state, and\ninteracts with an environment at finite temperature. We describe how the\nquantum and thermal fluctuations contribute to the uncertainties in the\ncanonical variables of the system and analyze the relative importance of these\nfluctuations in the evolution of the system. We show that upon contact with the\nbath the system evolves from a quantum-dominated to a thermal-dominated state\nin a time that is of the same order as the decoherence time calculated in other\nmodels in the context of transitions from quantum to classical physics.",
    "arxiv_id": "quant-ph/0702100",
    "authors": [
      "A. Isar",
      "W. Scheid"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.042117",
    "journal_ref": "Phys. Rev. A 66, 042117 (2002)",
    "title": "Uncertainty functions of the open quantum harmonic oscillator in the   Lindblad theory",
    "url": "https://arxiv.org/abs/quant-ph/0702100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fa22e2f-44a4-457c-9728-9f26b46f57cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}