{
  "annotation_id": "3ce97b26-8925-4c81-8e7e-13f81940d537",
  "date_created": "2026-03-02T18:02:09.809000Z",
  "date_modified": "2026-03-02T18:02:09.809000Z",
  "file_hash": "1adbb8fbc8240f06c72b6b840ae22312f084d94f81727340fe2ab55a0851c76c",
  "private": false,
  "record": {
    "abstract": "In this work we investigate the quantum dynamics of a model for two\nsingle-mode Bose--Einstein condensates which are coupled via Josephson\ntunneling. Using direct numerical diagonalisation of the Hamiltonian, we\ncompute the time evolution of the expectation value for the relative particle\nnumber across a wide range of couplings. Our analysis shows that the system\nexhibits rich and complex behaviours varying between harmonic and non-harmonic\noscillations, particularly around the threshold coupling between the\ndelocalised and self-trapping phases. We show that these behaviours are\ndependent on both the initial state of the system as well as regime of the\ncoupling. In addition, a study of the dynamics for the variance of the relative\nparticle number expectation and the entanglement for different initial states\nis presented in detail.",
    "arxiv_id": "quant-ph/0408161",
    "authors": [
      "A. P. Tonel",
      "J. Links",
      "A. Foerster"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other"
    ],
    "doi": "10.1088/0305-4470/38/6/004",
    "journal_ref": "J, Phys. A 38 (2005) 1235",
    "title": "Quantum dynamics of a model for two Josephson-coupled Bose--Einstein   condensates",
    "url": "https://arxiv.org/abs/quant-ph/0408161"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8606576c-6e31-4067-b166-57a821304d14",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}