{
  "annotation_id": "82655ac7-17cf-4400-b315-c1f854859254",
  "date_created": "2026-03-02T18:02:27.553000Z",
  "date_modified": "2026-03-02T18:02:27.553000Z",
  "file_hash": "8c2c694a7002d362d12df57ec7fe66bcf65018eaecf8ababa08b2c7f45f0885a",
  "private": false,
  "record": {
    "abstract": "The topological properties of adiabatic gauge fields for multi-level\n(three-level in particular) quantum systems are studied in detail. Similar to\nthe result that the adiabatic gauge field for SU(2) systems (e.g. two-level\nquantum system or angular momentum systems, etc) have a monopole structure, the\ncurvature two-forms of the adiabatic holonomies for SU(3) three-level and SU(3)\neight-level quantum systems are shown to have monopole-like (for all levels) or\ninstanton-like (for the degenerate levels) structures.",
    "arxiv_id": "quant-ph/0607130",
    "authors": [
      "Zheng-Xin Liu",
      "Xiao-Ting Zhou",
      "Xin Liu",
      "Xiong-Jun Liu",
      "Jing-Ling Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/7/015",
    "journal_ref": "J.Phys. A40 (2007) 1661-1676",
    "title": "Topological structures of adiabatic phase for multi-level quantum   systems",
    "url": "https://arxiv.org/abs/quant-ph/0607130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f54d667-2d47-4bba-9d05-6585d7875262",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}