{
  "annotation_id": "3eea4509-afdc-4908-bc73-9a3d8afce606",
  "date_created": "2026-03-02T18:02:30.557000Z",
  "date_modified": "2026-03-02T18:02:30.557000Z",
  "file_hash": "e734d71e5770886834931b411fde1515f13405e2b0588df5d3ff49a708167578",
  "private": false,
  "record": {
    "abstract": "A semiclassical Bohr-Sommerfeld approximation is derived for an N-particle,\ntwo-mode Bose-Hubbard system modeling a Bose-Einstein condensate in a\ndouble-well potential. This semiclassical description is based on the\n`classical\u0027 dynamics of the mean-field Gross-Pitaevskii equation and is\nexpected to be valid for large N. We demonstrate the possibility to reconstruct\nquantum properties of the N-particle system from the mean-field dynamics. The\nresulting semiclassical eigenvalues and eigenstates are found to be in very\ngood agreement with the exact ones, even for small values of N, both for\nsubcritical and supercritical particle interaction strength where tunneling has\nto be taken into account.",
    "arxiv_id": "quant-ph/0611040",
    "authors": [
      "E. -M. Graefe",
      "H. J. Korsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.032116",
    "journal_ref": "Phys.Rev.A 76 (2007) 032116",
    "title": "Semiclassical quantization of an N-particle Bose-Hubbard model",
    "url": "https://arxiv.org/abs/quant-ph/0611040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8860d255-3e51-4526-8674-746eb8a00d79",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}