{
  "annotation_id": "73f5b40e-b10c-4ae3-a1d3-f84145d5d9ab",
  "date_created": "2026-03-02T18:01:52.296000Z",
  "date_modified": "2026-03-02T18:01:52.296000Z",
  "file_hash": "6ee565cc57c89413ce13a66785a96d150d24837f782bce9ede52fded01396c11",
  "private": false,
  "record": {
    "abstract": "We construct a new family of q-deformed coherent states $|z\u003e_q$, where $0 \u003c q\n\u003c 1$. These states are normalizable on the whole complex plane and continuous\nin their label $z$. They allow the resolution of unity in the form of an\nordinary integral with a positive weight function obtained through the analytic\nsolution of the associated Stieltjes power-moment problem and expressed in\nterms of one of the two Jacksons\u0027s $q$-exponentials. They also permit exact\nevaluation of matrix elements of physically-relevant operators. We use this to\nshow that the photon number statistics for the states is sub-Poissonian and\nthat they exhibit quadrature squeezing as well as an enhanced signal-to-quantum\nnoise ratio over the conventional coherent state value. Finally, we establish\nthat they are the eigenstates of some deformed boson annihilation operator and\nstudy some of their characteristics in deformed quantum optics.",
    "arxiv_id": "quant-ph/0206188",
    "authors": [
      "C. Quesne"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "math.QA",
      "physics.optics"
    ],
    "doi": "10.1088/0305-4470/35/43/316",
    "journal_ref": "J. Phys. A 35 (2002) 9213-9226",
    "title": "New q-deformed coherent states with an explicitly known resolution of   unity",
    "url": "https://arxiv.org/abs/quant-ph/0206188"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4f688fc-8406-403e-8959-0936fed047fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}