{
  "annotation_id": "488e5baf-202d-451f-845e-f26ae6b37f7d",
  "date_created": "2026-03-02T18:02:45.025000Z",
  "date_modified": "2026-03-02T18:02:45.025000Z",
  "file_hash": "090cbd8451647880c61fa39ce5c3bfb2c3e9333d3a232642ac4e633fd9a881c6",
  "private": false,
  "record": {
    "abstract": "We present a perturbation theory for non-Markovian quantum state diffusion\n(QSD), the theory of diffusive quantum trajectories for open systems in a\nbosonic environment [Physical Review {\\bf A 58}, 1699, (1998)]. We establish a\nsystematic expansion in the ratio between the environmental correlation time\nand the typical system time scale. The leading order recovers the Markov\ntheory, so here we concentrate on the next-order correction corresponding to\nfirst-order non-Markovian master equations. These perturbative equations\ngreatly simplify the general non-Markovian QSD approach, and allow for\nefficient numerical simulations beyond the Markov approximation. Furthermore,\nwe show that each perturbative scheme for QSD naturally gives rise to a\nperturbative scheme for the master equation which we study in some detail.\nAnalytical and numerical examples are presented, including the quantum Brownian\nmotion model.",
    "arxiv_id": "quant-ph/9902043",
    "authors": [
      "Ting Yu",
      "Lajos Di\u00f3si",
      "Nicolas Gisin",
      "Walter T. Strunz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.91",
    "journal_ref": "Phys.Rev. A60 (1999) 91-103",
    "title": "Non-Markovian quantum state diffusion: Perturbation approach",
    "url": "https://arxiv.org/abs/quant-ph/9902043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee2236e7-222f-45bb-aa73-c9a13ea292af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}