{
  "annotation_id": "b2a64b76-0ef0-4096-b89a-c4476a7870f5",
  "date_created": "2026-03-02T18:02:16.531000Z",
  "date_modified": "2026-03-02T18:02:16.531000Z",
  "file_hash": "774de2ebfaae04ad78a1e7bdfef5cff76471e92e593b9e691c64986395b01d4c",
  "private": false,
  "record": {
    "abstract": "We introduce a self-consistent framework for the analysis of both Abelian and\nnon-Abelian geometric phases associated with open quantum systems, undergoing\ncyclic adiabatic evolution. We derive a general expression for geometric\nphases, based on an adiabatic approximation developed within an inherently\nopen-systems approach. This expression provides a natural generalization of the\nanalogous one for closed quantum systems, and we prove that it satisfies all\nthe properties one might expect of a good definition of a geometric phase,\nincluding gauge invariance. A striking consequence is the emergence of a finite\ntime interval for the observation of geometric phases. The formalism is\nillustrated via the canonical example of a spin-1/2 particle in a\ntime-dependent magnetic field. Remarkably, the geometric phase in this case is\nimmune to dephasing and spontaneous emission in the renormalized Hamiltonian\neigenstate basis. This result positively impacts holonomic quantum computing.",
    "arxiv_id": "quant-ph/0507012",
    "authors": [
      "M. S. Sarandy",
      "D. A. Lidar"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1103/PhysRevA.73.062101",
    "journal_ref": "Phys. Rev. A 73, 062101 (2006)",
    "title": "Abelian and non-Abelian geometric phases in adiabatic open quantum   systems",
    "url": "https://arxiv.org/abs/quant-ph/0507012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f89096c5-fede-49e8-8306-7f94f964d119",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}