{
  "annotation_id": "30b93518-d938-4ba9-b012-79b92a85bbaf",
  "date_created": "2026-03-02T18:02:20.648000Z",
  "date_modified": "2026-03-02T18:02:20.648000Z",
  "file_hash": "2b4bbc3388cdddbe418a3538f58c42aefa3f6b527643a2abd3589e72827b3595",
  "private": false,
  "record": {
    "abstract": "We have studied the atomic density of a cloud confined in an isotropic\nharmonic trap at the vicinity of the Bose-Einstein transition temperature. We\nshow that, for a non-interacting gas and near this temperature, the\nground-state density has the same order of magnitude as the excited states\ndensity at the centre of the trap. This holds in a range of temperatures where\nthe ground-state population is negligible compared to the total atom number. We\ncompare the exact calculations, available in a harmonic trap, to semi-classical\napproximations. We show that these latter should include the ground-state\ncontribution to be accurate..",
    "arxiv_id": "quant-ph/0508186",
    "authors": [
      "Rodolphe Hoppeler",
      "Jose Viana Gomes",
      "Denis Boiron"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjd/e2006-00197-8",
    "journal_ref": "Eur. Phys. J. D 41 (2007) 157",
    "title": "Atomic density of an harmonically trapped ideal gas near Bose-Einstein   transition temperature",
    "url": "https://arxiv.org/abs/quant-ph/0508186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41661a5d-8c23-4180-a317-204f4dbdb9f6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}