{
  "annotation_id": "7de616c9-98d8-4d8f-8b22-d8f14ff42947",
  "date_created": "2026-03-02T18:00:35.583000Z",
  "date_modified": "2026-03-02T18:00:35.583000Z",
  "file_hash": "98a40d677efcc28df01965680d3216ff5fb4701b9dd00b5c68d835c3cc66122b",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of a two-mode Bose-Einstein condensate in the vicinity\nof a mean-field dynamical instability. Convergence to mean-field theory (MFT),\nwith increasing total number of particles $N$, is shown to be logarithmically\nslow. Using a density matrix formalism rather than the conventional\nwavefunction methods, we derive an improved set of equations of motion for the\nmean-field plus the fluctuations, which goes beyond MFT and provides accurate\npredictions for the leading quantum corrections and the quantum break time. We\nshow that the leading quantum corrections appear as decoherence of the reduced\nsingle-particle quantum state; we also compare this phenomenon to the effects\nof thermal noise. Using the rapid dephasing near an instability, we propose a\nmethod for the direct measurement of scattering lengths.",
    "arxiv_id": "physics/0105072",
    "authors": [
      "J. R. Anglin",
      "A. Vardi"
    ],
    "categories": [
      "physics.atom-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.64.013605",
    "journal_ref": "Phys. Rev. A 64, 013605 (2001)",
    "title": "Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory",
    "url": "https://arxiv.org/abs/physics/0105072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a72e29a-7e3c-4024-a925-cd7f85e3dec4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}