{
  "annotation_id": "850c6530-1410-4a1f-aa98-e40b9d2b6639",
  "date_created": "2026-03-02T18:01:21.229000Z",
  "date_modified": "2026-03-02T18:01:21.229000Z",
  "file_hash": "05d8e824492fea3604e5a0c396c2c7e279f9f2b777ea3e4509523991a9a65587",
  "private": false,
  "record": {
    "abstract": "It is shown that the SU(1,1)-like and SU(2)-like two-photon coherent states\ncan be combined to form a O(3,2)-like two-photon states. Since the O(3,2) group\nhas many subgroups, there are also many new interesting new coherent and\nsqueezed two-photon states. Among them is the two-photon sheared state whose\nsymmetry property is like that for the two-dimensional Euclidean group. There\nare now two-phonon coherent states which may exhibit symmetries not yet\nobserved for photons, including sheared states. Let us note that both SU(1,1)\nand S(3,2) are isomorphic to the symplectic groups Sp(2) and Sp(4)\nrespectively, and that symplectic transformations consist of rotations and\nsqueeze transformations.",
    "arxiv_id": "physics/9803017",
    "authors": [
      "D. Han",
      "Y. S. Kim"
    ],
    "categories": [
      "physics.optics",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "title": "Squeezed States as Representations of Symplectic Groups",
    "url": "https://arxiv.org/abs/physics/9803017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9e39a588-c76b-44b6-a393-00bcb194c661",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}