{
  "annotation_id": "5033f8ea-1958-4208-878e-8b7eebae2de6",
  "date_created": "2026-03-02T18:02:37.961000Z",
  "date_modified": "2026-03-02T18:02:37.961000Z",
  "file_hash": "9e2e7b1c9c8379e1f7da2d278b92c4dbf80961cb3897b118e354aa67a507faa6",
  "private": false,
  "record": {
    "abstract": "The generally deformed oscillator (GDO) and its multiphoton realization as\nwell as the coherent and squeezed vacuum states are studied. We discuss, in\nparticular, the GDO depending on a complex parameter q (therefore we call it\nq-GDO) together with the finite dimensional cyclic representations. As a\nrealistic physical system of GDO the isospectral oscillator system is studied\nand it is found that its coherent and squeezed vacuum states are closely\nrelated to those of the oscillator. It is pointed out that starting from the\nq-GDO with q root of unity one can define the hermitian phase operators in\nquantum optics consistently and algebraically. The new creation and\nannihilation operators of the Pegg-Barnett type phase operator theory are\ndefined by using the cyclic representations and these operators degenerate to\nthose of the ordinary oscillator in the classical limit q-\u003e1.",
    "arxiv_id": "quant-ph/9611003",
    "authors": [
      "Hong-Chen Fu",
      "Ryu Sasaki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/29/14/027",
    "journal_ref": "J.Phys.A29:4049,1996",
    "title": "Generally Deformed Oscillator, Isospectral Oscillator System and   Hermitian Phase Operator",
    "url": "https://arxiv.org/abs/quant-ph/9611003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0298697e-3e6f-405d-989a-545f1e619383",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}