{
  "annotation_id": "fbfeed1a-3b09-4a3d-99c2-f05c5d6a4df8",
  "date_created": "2026-03-02T18:01:52.305000Z",
  "date_modified": "2026-03-02T18:01:52.305000Z",
  "file_hash": "73de9935dea0a2c0706dcc3fb8e56f99d58392f611e5f7a13d858e7fe8a9c34c",
  "private": false,
  "record": {
    "abstract": "An asymmetric nature of the boson `destruction\u0027 operator $\\hat{a}$ and its\n`creation\u0027 partner $\\hat{a}^{\\dagger}$ is made apparent by applying them to a\nquantum state $|\\psi\u003e$ different from the Fock state $|n\u003e$. We show that it is\npossible to {\\em increase} (by many times or by any quantity) the mean number\nof quanta in the new `photon-subtracted\u0027 state $\\hat{a}|\\psi \u003e$. Moreover, for\ncertain `hyper-Poissonian\u0027 states $|\\psi\u003e$ the mean number of quanta in the\n(normalized) state $\\hat{a}|\\psi\u003e$ can be much greater than in the\n`photon-added\u0027 state $\\hat{a}^{\\dagger}|\\psi \u003e $. The explanation of this\n`paradox\u0027 is given and some examples elucidating the meaning of Mandel\u0027s\n$q$-parameter and the exponential phase operators are considered.",
    "arxiv_id": "quant-ph/0207035",
    "authors": [
      "S. S. Mizrahi",
      "V. V. Dodonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/41/315",
    "journal_ref": "J. Phys. A, v.35, no.41, p.8847-8857 (2002)",
    "title": "Creating quanta with \"annihilation\" operator",
    "url": "https://arxiv.org/abs/quant-ph/0207035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13805118-224c-42d4-9215-843c21943678",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}