{
  "annotation_id": "60213d84-0137-4e5c-8798-90c687b70b2e",
  "date_created": "2026-03-02T18:01:42.005000Z",
  "date_modified": "2026-03-02T18:01:42.005000Z",
  "file_hash": "6ad57ce8759ae8a85e0583b932cf774b2a38db9f932dc4565a84cd8e00f9ff85",
  "private": false,
  "record": {
    "abstract": "A simple, and elegant geometrical representation is developed to describe the\nconcept of coherence and squeezing for angular momentum operators. Angular\nmomentum squeezed states were obtained by applying Bogoliubov transformation on\nthe angular momentum coherent states in Schwinger representation [Phys. Rev.\n{\\bf{A 51}} (1995)]. We present the geometrical phase space description of\nangular momentum coherent and squeezed states and relate with the harmonic\noscillator. The unique feature of our geometric representation is the\nportraying of the expectation values of the angular momentum components\naccompanied by their uncertainties. The bosonic representation of the angular\nmomentum coherent and squeezed states is compared with the conventional one\nmentioning the advantages of this representation of angular momentum in context\nof coherence and squeezing. Extension of our work on single mode squeezing to\ndouble mode squeezing is presented and compared with the single mode one. We\nalso point out the possible applications of the geometrical representation in\nanalyzing the accuracy of interferometers and in studying the behavior,\ndynamics of an ensemble of quantum-mechanical two-level systems and its\ninteraction with radiation.",
    "arxiv_id": "quant-ph/0012083",
    "authors": [
      "Abir Bandyopadhyay",
      "Jagdish Rai"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Geometrical Representation of Angular Momentum Coherence and Squeezing",
    "url": "https://arxiv.org/abs/quant-ph/0012083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14f75de8-3e7c-4e9b-9a7d-d853bc711a05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}