{
  "annotation_id": "4fefc047-f9c2-4dfe-b6e3-d0978b5eae56",
  "date_created": "2026-03-02T18:02:27.726000Z",
  "date_modified": "2026-03-02T18:02:27.726000Z",
  "file_hash": "179ddf20be033ff2e5077e054e68699ef0576bd64ae27aa7162fda1ee3d2fd5b",
  "private": false,
  "record": {
    "abstract": "In this paper, we investigate the relation between the curvature of the\nphysical space and the deformation function of the deformed oscillator algebra\nusing non-linear coherent states approach. For this purpose, we study\ntwo-dimensional harmonic oscillators on the flat surface and on a sphere by\napplying the Higgs modell. With the use of their algebras, we show that the\ntwo-dimensional oscillator algebra on a surface can be considered as a deformed\none-dimensional oscillator algebra where the effect of the curvature of the\nsurface is appeared as a deformation function. We also show that the curvature\nof the physical space plays the role of deformation parameter. Then we\nconstruct the associated coherent states on the flat surface and on a sphere\nand compare their quantum statistical properties, including quadrature\nsqueezing and antibunching effect.",
    "arxiv_id": "quant-ph/0604176",
    "authors": [
      "A. Mahdifar",
      "R. Roknizadeh",
      "M. H. Naderi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/22/014",
    "title": "Geometric approach to nonlinear coherent states using the Higgs model   for harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0604176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "528b15ed-847f-4a0d-82d0-02fc65c054c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}