{
  "annotation_id": "a0d16d7e-11f5-4be5-89f3-f5f543c168c5",
  "date_created": "2026-03-02T18:01:42.314000Z",
  "date_modified": "2026-03-02T18:01:42.314000Z",
  "file_hash": "9a67093fffcc1b63fc074cb2ead9e209bc14c49bac497474e9eb5bfe785b0a25",
  "private": false,
  "record": {
    "abstract": "We reelaborate on a general method for diagonalizing a wide class of\nnonlinear Hamiltonians describing different quantum optical models. This method\nmakes use of a nonlinear deformation of the usual su(2) algebra and when some\nphysical parameter, dictated by the particular model under consideration,\nbecomes small, it gives a diagonal effective Hamiltonian that describes\ncorrectly the dynamics for arbitrary states and long times. We extend the\ntechnique to $N$-level atomic systems interacting with quantum fields, finding\nthe corresponding effective Hamiltonians when the condition of $k$-photon\nresonance is fulfilled.",
    "arxiv_id": "quant-ph/0102050",
    "authors": [
      "A. B. Klimov",
      "A. Navarro",
      "L. L. Sanchez-Soto"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Lie-type transformations and effective Hamiltonians in nonlinear quantum   optics: applications to multilevel systems",
    "url": "https://arxiv.org/abs/quant-ph/0102050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c5a56a65-871c-4634-a55f-166c68b3258a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}