{
  "annotation_id": "93e8644e-a2cd-4365-b2af-02d3d2d72a1a",
  "date_created": "2026-03-02T18:01:39.346000Z",
  "date_modified": "2026-03-02T18:01:39.346000Z",
  "file_hash": "7211fc3bb85dc1662bad42b72961d715dc3235e57f38bf0afd99f099c4b1fd08",
  "private": false,
  "record": {
    "abstract": "We propose a natural expansion of the atomic field operator in studying\nelementary excitations in trapped Bose-Einstein Condensation (BEC) system near\nT=0K. Based on this expansion, a system of coupled equations for elementary\nexcitations, which is equivalent to the standard linearized GP equation, is\ngiven to describe the collective excitation of BEC in a natual way.\nApplications of the new formalism to the homogeneous case emphasize on the zero\nmode and its relevant ground state of BEC.",
    "arxiv_id": "quant-ph/0004012",
    "authors": [
      "D. L. Zhou",
      "X. X. Yi",
      "G. R. Jin",
      "Y. H. Su",
      "Y. X. Liu",
      "C. P. Sun"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Elementary Excitations in Trapped BEC and Zero Mode Problem",
    "url": "https://arxiv.org/abs/quant-ph/0004012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7abe8512-9587-4ce2-980f-ee4ad00b6e05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}