{
  "annotation_id": "975fcd7a-8289-450e-9086-3112f2753340",
  "date_created": "2026-03-02T18:02:10.337000Z",
  "date_modified": "2026-03-02T18:02:10.337000Z",
  "file_hash": "35f61384cbc3d2cae7fa35a8945618a567639552cf472606d57ff1120ede8825",
  "private": false,
  "record": {
    "abstract": "We study the distribution of energy level spacings in two models describing\ncoupled single-mode Bose-Einstein condensates. Both models have a fixed number\nof degrees of freedom, which is small compared to the number of interaction\nparameters, and is independent of the dimensionality of the Hilbert space. We\nfind that the distribution follows a universal Poisson form independent of the\nchoice of coupling parameters, which is indicative of the integrability of both\nmodels. These results complement those for integrable lattice models where the\nnumber of degrees of freedom increases with increasing dimensionality of the\nHilbert space. Finally, we also show that for one model the inclusion of an\nadditional interaction which breaks the integrability leads to a non-Poisson\ndistribution.",
    "arxiv_id": "quant-ph/0406125",
    "authors": [
      "Silvio R. Dahmen",
      "Jon Links",
      "Ross H. McKenzie",
      "Huan-Qiang Zhou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1742-5468/2004/10/P10019",
    "title": "Energy level statistics for models of coupled single-mode Bose--Einstein   condensates",
    "url": "https://arxiv.org/abs/quant-ph/0406125"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8ce19ab-6c0f-4b28-8960-ef1f35fbf9b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}