{
  "annotation_id": "c9e6348a-59aa-4e43-a6b7-066fb9370e29",
  "date_created": "2026-03-02T18:02:30.971000Z",
  "date_modified": "2026-03-02T18:02:30.971000Z",
  "file_hash": "58c933cae6fd21810ac0270beb546041af9e1e68e25b4f988870c221700942da",
  "private": false,
  "record": {
    "abstract": "We show how a large family of master equations, describing quantum Brownian\nmotion of a harmonic oscillator with translationally invariant damping, can be\nderived within a phenomenological approach, based on the assumption that an\nenvironment can be simulated by two classical stochastic forces. This family is\ndetermined by three time-dependent correlation functions (besides the frequency\nand damping coefficients), and it includes as special cases the known master\nequations, whose dissipative part is bilinear with respect to the operators of\ncoordinate and momentum.",
    "arxiv_id": "quant-ph/0609144",
    "authors": [
      "A. V. Dodonov",
      "S. S. Mizrahi",
      "V. V. Dodonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.75.011132",
    "journal_ref": "Physical Review E 75, 011132 (2007)",
    "title": "Quantum master equations from classical Lagrangians with two stochastic   forces",
    "url": "https://arxiv.org/abs/quant-ph/0609144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1d80efe-8372-473a-a6dd-52594ed0efe8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}