{
  "annotation_id": "13599b46-d2fe-4815-a1a6-e45ca494e4cd",
  "date_created": "2026-03-02T18:01:45.406000Z",
  "date_modified": "2026-03-02T18:01:45.406000Z",
  "file_hash": "a4c0c3fe947a6594028604f9309882dd6477b8d5d5d954a12db377da942f7206",
  "private": false,
  "record": {
    "abstract": "We demonstrate a method which allows the stochastic modelling of quantum\nsystems for which the generalised Fokker-Planck equation in the phase space\ncontains derivatives of higher than second order. This generalises quantum\nstochastics far beyond the quantum-optical paradigm of three and four-wave\nmixing problems to which these techniques have so far only been applicable. To\nverify our method, we model a full Wigner representation for the optical\nparametric oscillator, a system where the correct results are well known and\ncan be obtained by other methods.",
    "arxiv_id": "quant-ph/0108128",
    "authors": [
      "L. I. Plimak",
      "M. K. Olsen",
      "M. Fleischhauer",
      "M. J. Collett"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "doi": "10.1209/epl/i2001-00529-8",
    "title": "Beyond the Fokker-Planck equation: Stochastic Simulation of Complete   Wigner representation for the Optical Parametric Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0108128"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "42a0b790-bfaa-43a8-8e94-42a39ebe90a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}