{
  "annotation_id": "29b9d07c-54f7-4dbe-aa07-d23c5cddc779",
  "date_created": "2026-03-02T18:01:48.935000Z",
  "date_modified": "2026-03-02T18:01:48.935000Z",
  "file_hash": "95e2c68211b149b9f63949fa094913fa056696001eec96a272dbb81c2233b638",
  "private": false,
  "record": {
    "abstract": "The method of generating a family of new solutions starting from any wave\nfunction satisfying the nonlinear Schr\\\"odinger equation in a harmonic\npotential proposed recently [ J. J. Garc\\\u0027{\\i}a-Ripoll, V. M.\nP\\\u0027erez-Garc\\\u0027{\\i}a, and V. Vekslerchik, Phys. Rev. E {\\bf 64}, 056602 (2001)]\nis extended to many-body theory of mutually interacting particles. Our method\nis based on a generalization of the displacement operator known in quantum\noptics and results in the separation of the center of mass motion from the\ninternal dynamics of many-body systems. The center of mass motion is analyzed\nfor an anisotropic rotating trap and a region of instability for intermediate\nrotational velocities is predicted.",
    "arxiv_id": "quant-ph/0204046",
    "authors": [
      "Iwo Bialynicki-Birula",
      "Zofia Bialynicka-Birula"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Center-of-mass motion in many-body theory of BEC",
    "url": "https://arxiv.org/abs/quant-ph/0204046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea929921-1af3-41c2-8544-1afc8ac2cd6f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}