{
  "annotation_id": "12836220-b781-4876-ae8b-9bb2e7d6e45e",
  "date_created": "2026-03-02T18:01:25.414000Z",
  "date_modified": "2026-03-02T18:01:25.414000Z",
  "file_hash": "40b41ff6604df83d60a7d26ad9d138fa56b36a7a1d50aa6b67c4c7b374d8a511",
  "private": false,
  "record": {
    "abstract": "An exact theory for the density of a one-dimensional Bose-Einstein condensate\nwith hard core particle interactions is developed in second quantization and\napplied to the scattering of the condensate by a spatially periodic impulse\npotential. The boson problem is mapped onto a system of free fermions obeying\nthe Pauli exclusion principle to facilitate the calculation. The density\nexhibits a spatial focusing of the probability density as well as a periodic\nself-imaging in time, or Talbot effect. Furthermore, the transition from single\nparticle to many body effects can be measured by observing the decay of the\nmodulated condensate density pattern in time. The connection of these results\nto classical and atom optical phase gratings is made explicit.",
    "arxiv_id": "physics/9903020",
    "authors": [
      "A. G. Rojo",
      "J. L. Cohen",
      "P. R. Berman"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.60.1482",
    "title": "Talbot Oscillations and Periodic Focusing in a One-Dimensional   Condensate",
    "url": "https://arxiv.org/abs/physics/9903020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55688544-faa4-489e-acf7-d579d441298a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}