{
  "annotation_id": "2a2b90eb-3a60-4d66-bc11-4a7a3fd1e794",
  "date_created": "2026-03-02T18:01:52.360000Z",
  "date_modified": "2026-03-02T18:01:52.360000Z",
  "file_hash": "a42ea303a8f070d49b452de0f7dcdb359aecd2bf77adadfb05337de7c0eaa650",
  "private": false,
  "record": {
    "abstract": "We reelaborate on a general method for obtaining effective Hamiltonians that\ndescribe different nonlinear optical processes. The method exploits the\nexistence of a nonlinear deformation of the su(2) algebra that arises as the\ndynamical symmetry of the original model. When some physical parameter (usually\nrelated to the dispersive limit) becomes small, we immediately get a diagonal\neffective Hamiltonian that represents correctly the dynamics for arbitrary\nstates and long times. We apply the same technique to obtain how the noise\nterms in the original model transform under this scheme, providing a systematic\nway of including damping effects in processes described in terms of effective\nHamiltonians.",
    "arxiv_id": "quant-ph/0208038",
    "authors": [
      "A. B. Klimov",
      "J. L. Romero",
      "J. Delgado",
      "L. L. Sanchez-Soto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/5/1/304",
    "journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 5, 34--39 (2003)",
    "title": "Master equations for effective Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0208038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "595bcd37-1d4d-4ec4-8371-88697282f899",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}