{
  "annotation_id": "83bda13c-0a28-41fc-a1dd-40624f96d65a",
  "date_created": "2026-03-02T18:02:02.922000Z",
  "date_modified": "2026-03-02T18:02:02.922000Z",
  "file_hash": "fc42d5cc9cad6e1f62e1262eec32a177a7c94f90a34cf2e1dad062730893f176",
  "private": false,
  "record": {
    "abstract": "A new definition and interpretation of geometric phase for mixed state cyclic\nunitary evolution in quantum mechanics are presented. The pure state case is\nformulated in a framework involving three selected Principal Fibre Bundles, and\nthe well known Kostant-Kirillov-Souriau symplectic structure on (co) adjoint\norbits associated with Lie groups. It is shown that this framework generalises\nin a natural and simple manner to the mixed state case. For simplicity, only\nthe case of rank two mixed state density matrices is considered in detail. The\nextensions of the ideas of Null Phase Curves and Pancharatnam lifts from pure\nto mixed states are also presented.",
    "arxiv_id": "quant-ph/0312146",
    "authors": [
      "S. Chaturvedi",
      "E. Ercolessi",
      "G. Marmo",
      "G. Morandi",
      "N. Mukunda",
      "R. Simon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjc/s2004-01814-5",
    "title": "Geometric phase for mixed states: a differential geometric approach",
    "url": "https://arxiv.org/abs/quant-ph/0312146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1b381f5-84b0-4677-862f-279e778e1d9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}