{
  "annotation_id": "b71062a3-9717-4c92-b4fc-464d669b45a0",
  "date_created": "2026-03-02T18:01:52.622000Z",
  "date_modified": "2026-03-02T18:01:52.622000Z",
  "file_hash": "37c4a86ff176751fbc29ea51145f4084b90a4f84fb0ab8310a061447a0a6f288",
  "private": false,
  "record": {
    "abstract": "We discuss a general and systematic method for obtaining effective\nHamiltonians that describe different nonlinear optical processes. The method\nexploits the existence of a nonlinear deformation of the usual su(2) algebra\nthat arises as the dynamical symmetry of the original model. When some physical\nparameter, dictated by the process under consideration, becomes small, we\nimmediately get a diagonal effective Hamiltonian that correctly represents the\ndynamics for arbitrary states and long times. We extend the technique to su(3)\nand su(N), finding the corresponding effective Hamiltonians when some resonance\nconditions are fulfilled.",
    "arxiv_id": "quant-ph/0209013",
    "authors": [
      "A. B. Klimov",
      "L. L. Sanchez-Soto",
      "A. Navarro",
      "E. C. Yustas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340210134675",
    "journal_ref": "J. Mod. Opt 49, 2211-2226 (2002)",
    "title": "Effective Hamiltonians in quantum optics: a systematic approach",
    "url": "https://arxiv.org/abs/quant-ph/0209013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0a097c89-6f70-4e00-a3ca-d9a811a5ad5f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}