{
  "annotation_id": "2be48be5-6ff9-4d77-8f60-31b6a8a2a23b",
  "date_created": "2026-03-02T18:02:24.011000Z",
  "date_modified": "2026-03-02T18:02:24.011000Z",
  "file_hash": "968a5048ba3a0c393b3fe773dcd26d3c58023cc364f061277d062c5b5b6594fb",
  "private": false,
  "record": {
    "abstract": "It is well known that a particle in a periodic potential with an additional\nconstant force performs Bloch oscillations. Modulating every second period of\nthe potential, the original Bloch band splits into two subbands. The dynamics\nof quantum particles shows a coherent superposition of Bloch oscillations and\nZener tunneling between the subbands, a Bloch-Zener oscillation. Such a system\nis modelled by a tight-binding Hamiltonian, a system of two minibands with an\neasily controllable gap. The dynamics of the system is investigated by using an\nalgebraic ansatz leading to a differential equation of Whittaker-Hill type. It\nis shown that the parameters of the system can be tuned to generate a periodic\nreconstruction of the wave packet and thus of the occupation probability. As an\napplication, the construction of a matter wave beam splitter and a Mach-Zehnder\ninterferometer is briefly discussed.",
    "arxiv_id": "quant-ph/0603093",
    "authors": [
      "B. M. Breid",
      "D. Witthaut",
      "H. J. Korsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1367-2630/8/7/110",
    "journal_ref": "New J. Phys. 8 (2006) 110",
    "title": "Bloch-Zener oscillations",
    "url": "https://arxiv.org/abs/quant-ph/0603093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "88c75ef6-d3ed-4343-ac9d-8c4e85963547",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}