{
  "annotation_id": "8850e63c-9edc-4728-a77c-0217ff12c903",
  "date_created": "2026-03-02T18:02:12.436000Z",
  "date_modified": "2026-03-02T18:02:12.436000Z",
  "file_hash": "ddae6a11cf3d3209a7664e1228ca7ea93789f2c6eaa241ac746eb7eeb0812445",
  "private": false,
  "record": {
    "abstract": "We propose an experimentally relevant scheme to create stable solitons in a\nthree-dimensional Bose-Einstein condensate confined by a one-dimensional\noptical lattice, using temporal modulation of the scattering length (through ac\nmagnetic field tuned close to the Feshbach resonance). Another physical\ninterpretation is a possibility to create stable 3D \"light bullets\" in an\noptical medium with a longitudinal alternating self-focusing/defocusing\nstructure, and periodic modulation of the refractive index in a transverse\ndirection. We develop a variational approximation to identify a stability\nregion in the parametric space, and verify the existence of stable breathing\nsolitons in direct simulations. Both methods reveal that stable solitons may be\nsupported if the average value of the nonlinear coefficient (whose sign\ncorresponds to attraction between atoms) and the lattice\u0027s strength exceed\nwell-defined minimum values. Stable localized patterns may feature a multi-cell\nstructure.",
    "arxiv_id": "quant-ph/0410235",
    "authors": [
      "M. Trippenbach",
      "M. Matuszewski",
      "B. A. Malomed"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1209/epl/i2004-10468-x",
    "journal_ref": "Europhys. Lett. 70, 8 (2005)",
    "title": "Stabilization of three-dimensional matter-waves solitons in an optical   lattice",
    "url": "https://arxiv.org/abs/quant-ph/0410235"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "912435fa-c5aa-4b5e-80eb-eeb35f816acb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}