{
  "annotation_id": "c44f0d5d-d99e-4ad7-afd9-dd04bfecf939",
  "date_created": "2026-03-02T18:02:09.055000Z",
  "date_modified": "2026-03-02T18:02:09.055000Z",
  "file_hash": "fe6047abd358399687d5947f5166c1ed6a244a95edef254ccc537910d99a3746",
  "private": false,
  "record": {
    "abstract": "We determine the probability distribution for the field inside a random\nuniform distribution of electric or magnetic dipoles.\n  For parallel dipoles, simulations and an analytical derivation show that\nalthough the average contribution from any spherical shell around the probe\nposition vanishes, the Levy stable distribution of the field is symmetric\naround a non-vanishing field amplitude.\n  In addition we show how omission of contributions from a small volume around\nthe probe leads to a field distribution with a vanishing mean, which, in the\nlimit of vanishing excluded volume, converges to the shifted distribution.",
    "arxiv_id": "quant-ph/0406178",
    "authors": [
      "Janus H. Wesenberg",
      "Klaus Molmer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.93.143903",
    "journal_ref": "Phys. Rev. Lett. 93, 143903 (2004)",
    "title": "The field inside a random distribution of parallel dipoles",
    "url": "https://arxiv.org/abs/quant-ph/0406178"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "467f6951-8487-4d37-bd83-ed2b49cf090b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}