{
  "annotation_id": "8854e41f-73f6-4c2d-b6bd-9e38bdcc024f",
  "date_created": "2026-03-02T18:02:06.943000Z",
  "date_modified": "2026-03-02T18:02:06.943000Z",
  "file_hash": "ae081c2c5b009329068b9d71d59a5d3338b0aa58e1622b6d8d6df339cf1e2678",
  "private": false,
  "record": {
    "abstract": "We study the Hillery-type, i.e. $N$-th power, amplitude squeezing in the\nfan-state $| \\xi ;2k,f\u003e_{F}$ characterized by $\\xi \\in \\mathcal{C}$,\n$k=1,2,3,...$ and $f$ a nonlinear operator-valued function. We show that for a\ngiven $k$ there exists a critical $\\xi_c$ such that for $0\u003c|\\xi|\\leq|\\xi_c|$\nsqueezing occurs simultaneously in $2k$ directions for the powers $N$ which are\na multiple of $2k$. This result does not depend on the concrete form of $f$,\ni.e. it holds true for both $f\\equiv 1$ and $f\\neq 1$. However, for $f\\neq 1$,\nwhich is realized here in the ion trap context, the squeezing directions as\nwell as the magnitude of $\\xi$ can be controlled by adjusting the system\ndriving parameters.",
    "arxiv_id": "quant-ph/0403201",
    "authors": [
      "Minh Duc Truong",
      "Ba An Nguyen"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Hillery-type squeezing in fan-states",
    "url": "https://arxiv.org/abs/quant-ph/0403201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d4121c0a-b6d6-42eb-9d25-e566460c1c85",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}