{
  "annotation_id": "39713142-324e-443c-91a5-be41f553b611",
  "date_created": "2026-03-02T18:02:27.708000Z",
  "date_modified": "2026-03-02T18:02:27.708000Z",
  "file_hash": "779b43068b7e53e1852842bbf595267d1076517ce406deccd65b78f2ecb26518",
  "private": false,
  "record": {
    "abstract": "A Fokker-Planck equation for the Wigner function evolution in a noisy Kerr\nmedium ($\\chi^{(3)}$ non-linearity) is presented. We numerically solved this\nequation taking a coherent state as an initial condition. The dissipation\neffects are discussed. We provide examples of quantum interference, sub-Planck\nphase space structures, and Gaussian versus non-Gaussian dynamical evolution of\nthe state. The results also apply to the description of a nanomechanical\nresonator with an intrinsic Duffing nonlinearity.",
    "arxiv_id": "quant-ph/0605166",
    "authors": [
      "Magdalena Stobi\u0144ska",
      "G. J. Milburn",
      "Krzysztof W\u00f3dkiewicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.78.013810",
    "journal_ref": "Phys. Rev. A 78, 013810 (2008)",
    "title": "Wigner Function Evolution of Quantum States in Presence of Self-Kerr   Interaction",
    "url": "https://arxiv.org/abs/quant-ph/0605166"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9e41e08c-1007-4600-bfa1-2e455f297570",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}