{
  "annotation_id": "74518814-b478-4257-986a-cc5867b43e59",
  "date_created": "2026-03-02T18:02:37.289000Z",
  "date_modified": "2026-03-02T18:02:37.289000Z",
  "file_hash": "2290e3f66c34088b20fb5d910f0e0b2a0f3d6fdefda7a4ec3a4a0f8ff8dd93de",
  "private": false,
  "record": {
    "abstract": "Statistical and phase properties and number-phase uncertainty relations are\nsystematically investigated for photon states associated with the\nHolstein-Primakoff realization of the SU(1,1) Lie algebra. Perelomov\u0027s SU(1,1)\ncoherent states and the eigenstates of the SU(1,1) lowering generator (the\nBarut-Girardello states) are discussed. A recently developed formalism, based\non the antinormal ordering of exponential phase operators, is used for studying\nphase properties and number-phase uncertainty relations. This study shows\nessential differences between properties of the Barut-Girardello states and the\nSU(1,1) coherent states. The philophase states, defined as states with simple\nphase-state representations, relate the quantum description of the optical\nphase to the properties of the SU(1,1) Lie group. A modified Holstein-Primakoff\nrealization is derived, and eigenstates of the corresponding lowering generator\nare discussed. These states are shown to contract, in a proper limit, to the\nfamiliar Glauber coherent states.",
    "arxiv_id": "quant-ph/9504008",
    "authors": [
      "C. Brif"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1355-5111/7/5/004",
    "journal_ref": "Quant.Semiclass.Opt.7:803-834,1995",
    "title": "Photon states associated with Holstein-Primakoff realization of SU(1,1)   Lie algebra",
    "url": "https://arxiv.org/abs/quant-ph/9504008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1092aae1-38de-4195-aa33-115fb46705b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}