{
  "annotation_id": "8e6a7406-e12b-45c3-bba6-6b543663fb2f",
  "date_created": "2026-03-02T18:01:49.458000Z",
  "date_modified": "2026-03-02T18:01:49.458000Z",
  "file_hash": "87e5810a44fef17770dac78028755dc78801d7f869fad40ebb8764247921b7b7",
  "private": false,
  "record": {
    "abstract": "In this work, we discuss the resonance states of a quantum particle in a\nperiodic potential plus a static force. Originally this problem was formulated\nfor a crystal electron subject to a static electric field and it is nowadays\nknown as the Wannier-Stark problem. We describe a novel approach to the\nWannier-Stark problem developed in recent years. This approach allows to\ncompute the complex energy spectrum of a Wannier-Stark system as the poles of a\nrigorously constructed scattering matrix and solves the Wannier-Stark problem\nwithout any approximation. The suggested method is very efficient from the\nnumerical point of view and has proven to be a powerful analytic tool for\nWannier-Stark resonances appearing in different physical systems such as\noptical lattices or semiconductor superlattices.",
    "arxiv_id": "quant-ph/0111132",
    "authors": [
      "M. Glueck",
      "A. R. Kolovsky",
      "H. J. Korsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0370-1573(02)00142-4",
    "journal_ref": "Phys. Rep. 366 (2002) 103",
    "title": "Wannier-Stark resonances in optical and semiconductor superlattices",
    "url": "https://arxiv.org/abs/quant-ph/0111132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a88daf19-70b5-493d-be8f-485db3275e53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}