{
  "annotation_id": "ebf5f1d5-2e0c-4953-a275-0086952e159e",
  "date_created": "2026-03-02T18:02:45.032000Z",
  "date_modified": "2026-03-02T18:02:45.032000Z",
  "file_hash": "494d5068e1d466ff1fc9da2611cf369c6ff73ade0ffd7296a4ec03b3e5daa6ba",
  "private": false,
  "record": {
    "abstract": "We study the nonclassical properties and algebraic characteristics of the\nnegative binomial states introduced by Barnett recently. The ladder operator\nformalism and displacement operator formalism of the negative binomial states\nare found and the algebra involved turns out to be the SU(1,1) Lie algebra via\nthe generalized Holstein-Primarkoff realization. These states are essentially\nPeremolov\u0027s SU(1,1) coherent states. We reveal their connection with the\ngeometric states and find that they are excited geometric states. As\nintermediate states, they interpolate between the number states and geometric\nstates. We also point out that they can be recognized as the nonlinear coherent\nstates. Their nonclassical properties, such as sub-Poissonian distribution and\nsqueezing effect are discussed. The quasiprobability distributions in phase\nspace, namely the Q and Wigner functions, are studied in detail. We also\npropose two methods of generation of the negative binomial states.",
    "arxiv_id": "quant-ph/9904027",
    "authors": [
      "Xiao-Guang Wang",
      "Shao-Hua Pan",
      "Guo-Zhen Yang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s100530050564",
    "journal_ref": "Eur.Phys.J.D10:415-422,2000",
    "title": "Non-classical properties and algebraic characteristics of negative   binomial states in quantized radiation fields",
    "url": "https://arxiv.org/abs/quant-ph/9904027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3aa17e30-91b8-4cc2-a50c-24ac50d36173",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}