{
  "annotation_id": "a8874df8-0989-4f11-8301-77792069b50f",
  "date_created": "2026-03-02T18:02:23.624000Z",
  "date_modified": "2026-03-02T18:02:23.624000Z",
  "file_hash": "1ff6f9dcfa0b3ff4301f5a71279a508bfef1c32e6ab378a3c825dff5f68a4245",
  "private": false,
  "record": {
    "abstract": "Electromagnetic waves with phase defects in the form of vortex lines combined\nwith a constant magnetic field are shown to pin down cyclotron orbits (Landau\norbits in the quantum mechanical setting) of charged particles at the location\nof the vortex. This effect manifests itself in classical theory as a trapping\nof trajectories and in quantum theory as a Gaussian shape of the localized wave\nfunctions. Analytic solutions of the Lorentz equation in the classical case and\nof the Schr\\\"odinger or Dirac equations in the quantum case are exhibited that\ngive precise criteria for the localization of the orbits. There is a range of\nparameters where the localization is destroyed by the parametric resonance.\nPinning of orbits allows for their controlled positioning -- they can be\ntransported by the motion of the vortex lines.",
    "arxiv_id": "quant-ph/0602049",
    "authors": [
      "Iwo Bialynicki-Birula",
      "Tomasz Radozycki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.052114",
    "journal_ref": "Physical Review A 73, 052114 (2006)",
    "title": "Pinning and transport of cyclotron/Landau orbits by electromagnetic   vortices",
    "url": "https://arxiv.org/abs/quant-ph/0602049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22bd91a6-fc82-48bd-a4be-8e2b971d72af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}