{
  "annotation_id": "8d56493a-5a47-468a-922e-62a5f6414490",
  "date_created": "2026-03-02T18:00:56.918000Z",
  "date_modified": "2026-03-02T18:00:56.918000Z",
  "file_hash": "639682be37c1fe45b7f3971fee31a370ce7c5a2176e08965f3876e0b19cce57e",
  "private": false,
  "record": {
    "abstract": "For classical Hamiltonian systems, the adiabatic condition may fail at some\ncritical points. However, the breakdown of the adiabatic condition does not\nalways make the adiabatic evolution be destroyed. In this paper, we suggest a\nsupplemental condition of the adiabatic evolution for the fixed points of\nclassical Hamiltonian systems when the adiabatic condition breaks down at the\ncritical points. As an example, we investigate the adiabatic evolution of the\nfixed points of a classical Hamiltonian system which has a number of\napplications.",
    "arxiv_id": "physics/0502108",
    "authors": [
      "Li-Bin Fu",
      "Shi-Gang Chen"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1103/PhysRevE.71.016607",
    "journal_ref": "Phys. Rev. E 71, 016607 (2005)",
    "title": "Topology hidden behind the breakdown of adiabaticity",
    "url": "https://arxiv.org/abs/physics/0502108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84c6f69c-ab33-4263-b9ce-4d67520364ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}