{
  "annotation_id": "5fa80265-4d80-4dc3-9f68-9482489433dd",
  "date_created": "2026-03-02T18:01:45.125000Z",
  "date_modified": "2026-03-02T18:01:45.125000Z",
  "file_hash": "bc61df673cadc659ebfab5e90863056fac3150efe7b0d76c5b9e5022d679c29c",
  "private": false,
  "record": {
    "abstract": "We study a Bose-Einstein condensate trapped in an asymmetric double well\npotential. Solutions of the time-independent Gross-Pitaevskii equation reveal\nintrinsic loops in the energy (or chemical potential) level behavior when the\nshape of the potential is varied. We investigate the corresponding behavior of\nthe quantum (many-body) energy levels. Applying the two-mode approximation to\nthe bosonic field operators, we show that the quantum energy levels create an\nanti-crossing net inside the region bounded by the loop of the mean field\nsolution.",
    "arxiv_id": "quant-ph/0108144",
    "authors": [
      "Zbyszek P. Karkuszewski",
      "Krzysztof Sacha",
      "Augusto Smerzi"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1140/epjd/e2002-00229-5",
    "journal_ref": "Eur. Phys. J. D 21, 251 (2002).",
    "title": "Mean field loops versus quantum anti-crossing nets in trapped   Bose-Einstein condensates",
    "url": "https://arxiv.org/abs/quant-ph/0108144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9ba9c243-859d-42a9-8008-4d02c2a2d10f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}