{
  "annotation_id": "3276c4e3-7937-434c-8f46-58c4b541e2d7",
  "date_created": "2026-03-02T18:02:16.223000Z",
  "date_modified": "2026-03-02T18:02:16.223000Z",
  "file_hash": "962f6cf50456829b4337867a92420d4f9bf954c79033cbc5b4e34c5db718f217",
  "private": false,
  "record": {
    "abstract": "In this paper we review some known results on the motion of Bloch Oscillators\nin the crystal momentum representation. We emphasize that the acceleration\ntheorem, as usually stated by most of the authors, is incomplete, but in the\ncase of pure Bloch states. In fact, the exact version of the acceleration\ntheorem should contain a phase factor depending on both the time and crystal\nmomentum variables. As we show this phase factor plays an essential role in\norder to understand the motion of Bloch Oscillators in the position variable.",
    "arxiv_id": "quant-ph/0506057",
    "authors": [
      "Vincenzo Grecchi",
      "Andrea Sacchetti"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Bloch Oscillators: motion of wave-packets",
    "url": "https://arxiv.org/abs/quant-ph/0506057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e4bf2a7-cede-4d0d-afb6-37d76dcd47ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}