{
  "annotation_id": "c3455c30-3723-4b72-97d4-293dacf30ac4",
  "date_created": "2026-03-02T18:02:48.479000Z",
  "date_modified": "2026-03-02T18:02:48.479000Z",
  "file_hash": "dea00c65cb8155491bf1c852b4806f5afd701ba8d7f7ec5d2aeb4ee1446fb2af",
  "private": false,
  "record": {
    "abstract": "We consider the case of a cubic nonlinear Schr\\\"{o}dinger equation with an\nadditional chaotic potential, in the sense that such a potential produces\nchaotic dynamics in classical mechanics. We derive and describe an appropriate\nsemiclassical limit to such a nonlinear Schr\\\"{o}dinger equation, using a\nsemiclassical interpretation of the Wigner function, and relate this to the\nhydrodynamic limit of the Gross-Pitaevskii equation used in the context of\nBose-Einstein condensation. We investigate a specific example of a\nGross-Pitaevskii equation with such a chaotic potential: the one-dimensional\ndelta-kicked harmonic oscillator, and its semiclassical limit. We explore the\nfeasibility of experimental realization of such a system in a Bose-Einstein\ncondensate experiment, giving a concrete proposal of how to implement such a\nconfiguration, and considering the problem of condensate depletion.",
    "arxiv_id": "quant-ph/9912092",
    "authors": [
      "S. A. Gardiner",
      "D. Jaksch",
      "R. Dum",
      "J. I. Cirac",
      "P. Zoller"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevA.62.023612",
    "journal_ref": "Phys. Rev. A 62, 023612 (2000).",
    "title": "Nonlinear Matter Wave Dynamics with a Chaotic Potential",
    "url": "https://arxiv.org/abs/quant-ph/9912092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22bd2f72-223c-47ec-9aff-e14c925da878",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}