{
  "annotation_id": "b73369cc-59f2-41e8-b2d2-07de6b493746",
  "date_created": "2026-03-02T18:02:30.476000Z",
  "date_modified": "2026-03-02T18:02:30.476000Z",
  "file_hash": "c277665fea1c79bee9a4c07d9ec563d2529f000536df84abd215b33ab31392ac",
  "private": false,
  "record": {
    "abstract": "An extended variational principle providing the equations of motion for a\nsystem consisting of interacting classical, quasiclassical and quantum\ncomponents is presented, and applied to the model of bilinear coupling. The\nrelevant dynamical variables are expressed in the form of a quantum state\nvector which includes the action of the classical subsystem in its phase\nfactor. It is shown that the statistical ensemble of Brownian state vectors for\na quantum particle in a classical thermal environment can be described by a\ndensity matrix evolving according to a nonlinear quantum Fokker-Planck\nequation. Exact solutions of this equation are obtained for a two-level system\nin the limit of high temperatures, considering both stationary and\nnonstationary initial states. A treatment of the common time shared by the\nquantum system and its classical environment, as a collective variable rather\nthan as a parameter, is presented in the Appendix.",
    "arxiv_id": "quant-ph/0610011",
    "authors": [
      "M. Grigorescu"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "doi": "10.1139/P07-107",
    "journal_ref": "Can. J. Phys. 85 (2007) 1023-1034",
    "title": "Variational Principle for Mixed Classical-Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0610011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "705873aa-8467-4ac3-9a53-74319a9990d7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}