{
  "annotation_id": "0c4501da-9f56-4657-aa57-0d2b82d65da7",
  "date_created": "2026-03-02T18:02:48.317000Z",
  "date_modified": "2026-03-02T18:02:48.317000Z",
  "file_hash": "58d21c89a9c852b4d7f697d622edd35f7d1c109330e89b4fe10d56e93d614b13",
  "private": false,
  "record": {
    "abstract": "We explore the use of first and second order same-time atomic spatial\ncorrelation functions as a diagnostic for probing the small scale spatial\nstructure of atomic samples trapped in optical lattices. Assuming an ensemble\nof equivalent atoms, properties of the local wave function at a given lattice\nsite can be measured using same-position first-order correlations. Statistics\nof atomic distributions over the lattice can be measured via two-point\ncorrelations, generally requiring the averaging of multiple realizations of\nstatistically similar but distinct realizations in order to obtain sufficient\nsignal to noise. Whereas two-point first order correlations are fragile due to\nphase fluctuations from shot-to-shot in the ensemble, second order correlations\nare robust. We perform numerical simulations to demonstrate these diagnostic\ntools.",
    "arxiv_id": "quant-ph/9909066",
    "authors": [
      "John P. Grondalski",
      "Paul M. Alsing",
      "Ivan H. Deutsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1364/OE.5.000249",
    "journal_ref": "\"Spatial correlation diagnostics for atoms in optical lattices\",\n  J. Grondalski, I. H. Deutsch, and P. M. Alsing, Opt. Exp. vol. 5, 249 (1999),\n  Direct link to Journal: http://epubs.osa.org/oearchive/pdf/12687.pdf",
    "title": "Spatial Correlation Diagnostics for Atoms in Optical Lattices",
    "url": "https://arxiv.org/abs/quant-ph/9909066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8455d802-7fd4-4dba-8a31-491ef969613f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}