{
  "annotation_id": "9d9b697d-aa70-4671-86c3-9941cd551650",
  "date_created": "2026-03-02T18:01:46.208000Z",
  "date_modified": "2026-03-02T18:01:46.208000Z",
  "file_hash": "b53f9dc6c3a0903037d1f57d2e4a7eb4a37f4223240ce954ad11c803576cabea",
  "private": false,
  "record": {
    "abstract": "We consider the hexagonal pattern forming in the cross-section of an optical\nbeam produced by a Kerr cavity, and we study the quantum correlations\ncharacterizing this structure. By using arguments related to the symmetry\nbroken by the pattern formation, we identify a complete scenario of six-mode\nentanglement. Five independent phase quadratures combinations, connecting the\nhexagonal modes, are shown to exhibit sub-shot-noise fluctuations. By means of\na non-linear quantum calculation technique, quantum correlations among the mode\nphoton numbers are demonstrated and calculated.",
    "arxiv_id": "quant-ph/0108015",
    "authors": [
      "Alessandra Gatti",
      "Stefano Mancini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.013816",
    "journal_ref": "Phys. Rev. A 65, 013816 (2002).",
    "title": "Spatial correlations in hexagons generated via a Kerr nonlinearity",
    "url": "https://arxiv.org/abs/quant-ph/0108015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb5a513e-cf6b-4297-bf27-c624c51ff1e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}