{
  "annotation_id": "307e4cc0-89ee-497c-a2a9-d7136727e0b5",
  "date_created": "2026-03-02T18:02:47.929000Z",
  "date_modified": "2026-03-02T18:02:47.929000Z",
  "file_hash": "559ef3b632e5f213adcbdda71c0a86c921f3acd9702d0c77fc8dd3501584fc3b",
  "private": false,
  "record": {
    "abstract": "Exact solutions of the Caldeira-Leggett Master equation for the reduced\ndensity matrix for a free particle and for a harmonic oscillator system coupled\nto a heat bath of oscillators are obtained for arbitrary initial conditions.\nThe solutions prove that the Fourier transform of the density matrix at time t\nwith respect to (x + x\u0027)/2, where x and x\u0027 are the initial and final\ncoordinates, factorizes exactly into a part depending linearly on the initial\ndensity matrix and a part independent of it. The theorem yields the exact\ninitial state dependence of the density operator at time t and its eventual\ndiagonalization in the energy basis.",
    "arxiv_id": "quant-ph/9910004",
    "authors": [
      "S. M. Roy",
      "Anu Venugopalan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Exact Solutions of the Caldeira-Leggett Master Equation: A Factorization   Theorem For Decoherence",
    "url": "https://arxiv.org/abs/quant-ph/9910004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "821bf794-a540-44ab-9896-2a1e3c489a84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}