{
  "annotation_id": "49e98381-15a2-4739-9b29-a77c98291d7f",
  "date_created": "2026-03-02T18:02:37.943000Z",
  "date_modified": "2026-03-02T18:02:37.943000Z",
  "file_hash": "3da748ddda151f0a3e0b055f85528225be611141ddf25abbf15ef4168cc94618",
  "private": false,
  "record": {
    "abstract": "We introduce a set of coherent states which are associated with quantum\nsystems governed by a trilinear boson Hamiltonian. These states are produced by\nthe action of a nonunitary displacement operator on a reference state and can\nbe equivalently defined by some eigenvalue equations. The system prepared\ninitially in the reference state will evolve into the coherent state during the\nfirst instants of the interaction process. Some properties of the coherent\nstates are discussed. In particular, the resolution of the identity is derived\nand the related analytic representation in the complex plane is developed. It\nis shown that this analytic representation coincides with a double\nrepresentation based on the Glauber coherent states of the pump mode and on the\nSU(1,1) Perelomov coherent states of the signal-idler system. Entanglement\nbetween the field modes and photon statistics of the coherent states are\nstudied. Connections between the coherent states and the long-time evolution\ninduced by the trilinear Hamiltonian are considered.",
    "arxiv_id": "quant-ph/9608022",
    "authors": [
      "C. Brif"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.54.5253",
    "journal_ref": "Phys.Rev. A54 (1996) 5253",
    "title": "Coherent states for quantum systems with a trilinear boson Hamiltonian",
    "url": "https://arxiv.org/abs/quant-ph/9608022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "543da28e-bbb6-47d1-b910-76ee9e61ddba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}