{
  "annotation_id": "70e130c6-2bce-4d76-9a1a-a93cdbd1a844",
  "date_created": "2026-03-02T18:00:49.898000Z",
  "date_modified": "2026-03-02T18:00:49.898000Z",
  "file_hash": "132f7d122e1bf3c9c83019fd04ad96d0ff18bb99521584ae7f2501f462a6c670",
  "private": false,
  "record": {
    "abstract": "We reveal the existence of asymmetric vortex solitons in ideally symmetric\nperiodic lattices, and show how such nonlinear localized structures describing\nelementary circular flows can be analyzed systematically using the\nenergy-balance relations. We present the examples of rhomboid, rectangular, and\ntriangular vortex solitons on a square lattice, and also describe novel\ncoherent states where the populations of clockwise and anti-clockwise vortex\nmodes change periodically due to a nonlinearity-induced momentum exchange\nthrough the lattice. Asymmetric vortex solitons are expected to exist in\ndifferent nonlinear lattice systems including optically-induced photonic\nlattices, nonlinear photonic crystals, and Bose-Einstein condensates in optical\nlattices.",
    "arxiv_id": "physics/0403103",
    "authors": [
      "Tristram J. Alexander",
      "Andrey A. Sukhorukov",
      "Yuri S. Kivshar"
    ],
    "categories": [
      "physics.optics",
      "cond-mat.other",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.93.063901",
    "journal_ref": "Phys. Rev. Lett. 93, 063901 (2004)",
    "title": "Asymmetric vortex solitons in nonlinear periodic lattices",
    "url": "https://arxiv.org/abs/physics/0403103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7549d9f2-855e-4862-a6e9-1b84fd28c1c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}