{
  "annotation_id": "19a3ee56-6bf4-4b12-9d8c-c61a9a1be7ae",
  "date_created": "2026-03-02T18:01:21.835000Z",
  "date_modified": "2026-03-02T18:01:21.835000Z",
  "file_hash": "211dd1f4660838112c4553bcb581b88c994b6473cd43e71622fe3cee747598ba",
  "private": false,
  "record": {
    "abstract": "We calculate the pair correlation function of an interacting Bose gas in a\nharmonic trap directly via Path Integral Quantum Monte Carlo simulation for\nvarious temperatures and compare the numerical result with simple approximative\ntreatments. Around the critical temperature of Bose-Einstein condensation, a\ndescription based on the Hartree-Fock approximation is found to be accurate. At\nlow temperatures the Hartree-Fock approach fails and we use a local density\napproximation based on the Bogoliubov description for a homogeneous gas. This\napproximation agrees with the simulation results at low temperatures, where the\ncontribution of the phonon-like modes affects the long range behavior of the\ncorrelation function. Further we discuss the relation between the pair\ncorrelation and quantities measured in recent experiments.",
    "arxiv_id": "physics/9812029",
    "authors": [
      "M. Holzmann",
      "Y. Castin"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1007/s100530050586",
    "journal_ref": "Eur. Phys. J. D 7, 425-432 (1999).",
    "title": "Pair correlation function of an inhomogeneous interacting Bose-Einstein   condensate",
    "url": "https://arxiv.org/abs/physics/9812029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3837cfbd-b41d-466f-a2b6-020ef1d4803d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}