{
  "annotation_id": "2203167e-0b16-4065-9481-586cc1aa32f1",
  "date_created": "2026-03-02T18:02:33.971000Z",
  "date_modified": "2026-03-02T18:02:33.971000Z",
  "file_hash": "42b1fafaf0c29de9c0cf981886d2afb7f823ee51e8503c54421cce7e65424843",
  "private": false,
  "record": {
    "abstract": "We describe the behavior of two coupled Bose-Einstein condensates in\ntime-dependent (TD) trap potentials and TD Rabi (or tunneling) frequency, using\nthe two-mode approach. Starting from Bloch states, we succeed to get analytical\nsolutions for the TD Schroedinger equation and present a detailed analysis of\nthe relative and geometric phases acquired by the wave function of the\ncondensates, as well as their population imbalance. We also establish a\nconnection between the geometric phases and constants of motion which\ncharacterize the dynamic of the system. Besides analyzing the affects of\ntemporality on condensates that differs by hyperfine degrees of freedom\n  (internal Josephson effect), we also do present a brief discussion of a one\nspecie condensate in a double-well potential\n  (external Josephson effect).",
    "arxiv_id": "quant-ph/0612213",
    "authors": [
      "E. I. Duzzioni",
      "L. Sanz",
      "S. S. Mizrahi",
      "M. H. Y. Moussa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.032113",
    "title": "Control of the geometric phase and pseudo-spin dynamics on coupled   Bose-Einstein condensates",
    "url": "https://arxiv.org/abs/quant-ph/0612213"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6bbabb90-12b6-43ce-8369-cf255175ffbd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}