{
  "annotation_id": "ef5381a2-2703-4244-8283-bb2a6a7fbed1",
  "date_created": "2026-03-02T18:01:45.510000Z",
  "date_modified": "2026-03-02T18:01:45.510000Z",
  "file_hash": "b8be32eca859bc14ae340c00f3a27d7eee5f0cc904b48f025c1151cf48ffbe1c",
  "private": false,
  "record": {
    "abstract": "We develop some calculation schemes to determine dynamics of a wide class of\nintegrable quantum-optical models using their symmetry adapted reformulation in\nterms of polynomial Lie algebras $su_{pd}(2)$. These schemes, based on\n\"diagonal\" representations of model evolution operators (via diagonalizing\nHamiltonians with the help of the $su_{pd}(2)$ defining relations), are\nimplemented in the form adapted for numerical calculations. Their efficiency is\ndemonstrated on the example of the second-harmonic-generation model.",
    "arxiv_id": "quant-ph/0105152",
    "authors": [
      "V. P. Karassiov",
      "A. A. Gusev",
      "S. I. Vinitsky"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "An implementation of the polynomial Lie algebra methods for solving a   class of nonlinear models in quantum optics",
    "url": "https://arxiv.org/abs/quant-ph/0105152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e405e105-ecda-480f-a171-9fb53109fd7d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}