{
  "annotation_id": "079ed8a8-ac5b-4570-9e78-737cec0f1942",
  "date_created": "2026-03-02T18:02:45.020000Z",
  "date_modified": "2026-03-02T18:02:45.020000Z",
  "file_hash": "41457c6ae6f27faf355ffed061df00a74c0de891c597e4702c40a43206dd01e1",
  "private": false,
  "record": {
    "abstract": "The states $|\\alpha,m\u003e$, defined as ${a^{\\dagger}}^{m}|\\alpha\u003e$ up to a\nnormalization constant and $m$ is a nonnegative integer, are shown to be the\neigenstates of $f(\\hat{n},m)\\hat{a}$ where $f(\\hat{n},m)$ is a nonlinear\nfunction of the number operator $\\hat{n}$. The explicit form of $f(\\hat{n},m)$\nis constructed. The eigenstates of this operator for negative values of $m$ are\nintroduced. The properties of these states are discussed and compared with\nthose of the state $|\\alpha,m \u003e$.",
    "arxiv_id": "quant-ph/9806061",
    "authors": [
      "S. Sivakumar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/18/317",
    "title": "Photon-added coherent states as nonlinear coherent states",
    "url": "https://arxiv.org/abs/quant-ph/9806061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5b66c6a-dfaf-4079-892f-5ee91381ce98",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}