{
  "annotation_id": "1b2318fd-cd3e-4f9d-a118-ca105b6159d1",
  "date_created": "2026-03-02T18:01:49.008000Z",
  "date_modified": "2026-03-02T18:01:49.008000Z",
  "file_hash": "3e88f811d79d5b9219843db96401c99f7634776dbfc6e88fecb2c69212137926",
  "private": false,
  "record": {
    "abstract": "We compare exact and SU(2)-cluster approximate calculation schemes to\ndetermine dynamics of the second-harmonic generation model using its\nreformulation in terms of a polynomial Lie algebra $su_{pd}(2)$ and related\nspectral representations of the model evolution operator realized in\nalgorithmic forms. It enabled us to implement computer experiments exhibiting a\nsatisfactory accuracy of the cluster approximations in a large range of\ncharacteristic model parameters.",
    "arxiv_id": "quant-ph/0112040",
    "authors": [
      "V. P. Karassiov",
      "A. A. Gusev",
      "S. I. Vinitsky"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)00178-0",
    "title": "Polynomial Lie algebra methods in solving the second-harmonic generation   model: some exact and approximate calculations",
    "url": "https://arxiv.org/abs/quant-ph/0112040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da2bf7a0-74b5-4a7b-960b-af10023b8010",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}