{
  "annotation_id": "7ef33935-4d47-4a63-86ba-f1499c6742ee",
  "date_created": "2026-03-02T18:02:12.851000Z",
  "date_modified": "2026-03-02T18:02:12.851000Z",
  "file_hash": "8b45254f7c3b18287c42108384accfe547c0a4b7eabeaab016c65de2cab9add6",
  "private": false,
  "record": {
    "abstract": "The theory of geometric phase is generalized to a cyclic evolution of the\neigenspace of an invariant operator with $N$-fold degeneracy.\n  The corresponding geometric phase is interpreted as a holonomy inherited from\nthe universal connection of a Stiefel U(N)-bundle over a Grassmann manifold.\nMost significantly, for an arbitrary initial state, this geometric phase\ncaptures the inherent geometric feature of the state evolution. Moreover, the\ngeometric phase in the evolution of the eigenspace of an adiabatic action\noperator is also addressed, which is elaborated by a pullback U(N)-bundle.\nSeveral intriguing physical examples are illustrated.",
    "arxiv_id": "quant-ph/0502168",
    "authors": [
      "Jeffrey C. Y. Teo",
      "Z. D. Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.050406",
    "journal_ref": "Phys. Rev. Lett. 95, 050406 (2005)",
    "title": "Geometric Phase in Eigenspace Evolution of Invariant and Adiabatic   Action Operators",
    "url": "https://arxiv.org/abs/quant-ph/0502168"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a92666ee-b2b1-4667-8c1a-3a9029ac57c0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}