{
  "annotation_id": "e38aaee4-fca5-472f-be5b-b158ce959008",
  "date_created": "2026-03-02T18:01:48.484000Z",
  "date_modified": "2026-03-02T18:01:48.484000Z",
  "file_hash": "2d2069dfb762444ad8ac1dc55387fcc9ef74bd7e11385238f1aed89aeac296a4",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of a wavepacket in a potential formed by the sum of a\nperiodic lattice and of a parabolic potential. The dynamics of the wavepacket\nis essentially a superposition of ``local Bloch oscillations\u0027\u0027, whose frequency\nis proportional to the local slope of the parabolic potential. We show that the\namplitude and the phase of the Fourier transform of a signal characterizing\nthis dynamics contains information about the amplitude and the phase of the\nwavepacket at a given lattice site. Hence, {\\em complete} reconstruction of the\nthe wavepacket in the real space can be performed from the study of the\ndynamics of the system.",
    "arxiv_id": "quant-ph/0203024",
    "authors": [
      "Quentin Thommen",
      "Veronique Zehnle",
      "Jean Claude Garreau"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.67.013416",
    "journal_ref": "Physical Review A 67, 013416 (2003)",
    "title": "Wavepacket reconstruction via local dynamics in a parabolic lattice",
    "url": "https://arxiv.org/abs/quant-ph/0203024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c14e69b-997f-4842-bbb6-36af698e0dac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}