{
  "annotation_id": "8c007765-0dac-4ce3-8541-1cc5b57f6632",
  "date_created": "2026-03-02T18:02:13.072000Z",
  "date_modified": "2026-03-02T18:02:13.072000Z",
  "file_hash": "09b4913c2d1e6feaee88264e85f75cfc075d507ea34f9ff0a3dbfcc1a695dd01",
  "private": false,
  "record": {
    "abstract": "Both unitary evolution and the effects of dissipation and decoherence for a\ngeneral three-level system are of widespread interest in quantum optics,\nmolecular physics, and elsewhere. A previous paper presented a technique for\nsolving the time-dependent operator equations involved but under certain\nrestrictive conditions. We now extend our results to a general three-level\nsystem with arbitrary time-dependent Hamiltonians and Lindblad operators.\nAnalytical handling of the SU(3) algebra of the eight operators involved leaves\nbehind a set of coupled first-order differential equations for classical\nfunctions. Solution of this set gives a complete solution of the quantum\nproblem, without having to invoke rotating-wave or other approximations.\nNumerical illustrations are given.",
    "arxiv_id": "quant-ph/0502109",
    "authors": [
      "A. R. P. Rau",
      "Weichang Zhao"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.063822",
    "journal_ref": "Phys.Rev.A61:063822,2005",
    "title": "Complete time-dependent treatment of a three-level system",
    "url": "https://arxiv.org/abs/quant-ph/0502109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7e3ecae6-c30e-488e-86e4-a59a34664804",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}