{
  "annotation_id": "5a61008e-65d6-41a1-b0fd-dec409ee4904",
  "date_created": "2026-03-02T18:02:48.460000Z",
  "date_modified": "2026-03-02T18:02:48.460000Z",
  "file_hash": "a9aec527396224a2a9774fa0a9794d516dc13008e05864fef04e3d7f222a115d",
  "private": false,
  "record": {
    "abstract": "We present a general unified approach for finding the coherent states of\npolynomially deformed algebras such as the quadratic and Higgs algebras, which\nare relevant for various multiphoton processes in quantum optics. We give a\ngeneral procedure to map these deformed algebras to appropriate Lie algebras.\nThis is used, for the non compact cases, to obtain the annihilation operator\ncoherent states, by finding the canonical conjugates of these operators.\n  Generalized coherent states, in the Perelomov sense also follow from this\nconstruction. This allows us to explicitly construct coherent states associated\nwith various quantum optical systems.",
    "arxiv_id": "quant-ph/9907075",
    "authors": [
      "V. SunilKumar",
      "B. A. Bambah",
      "R. Jagannathan",
      "P. K. Panigrahi",
      "V. Srinivasan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/2/2/311",
    "title": "Coherent States of Non-Linear Lie algebras: Application in Quantum   Optics",
    "url": "https://arxiv.org/abs/quant-ph/9907075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d64c93c-65d3-4fa3-9bdb-fb094485cf7f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}