{
  "annotation_id": "93c287e9-e52a-43bb-8849-ee5af6214246",
  "date_created": "2026-03-02T18:02:27.706000Z",
  "date_modified": "2026-03-02T18:02:27.706000Z",
  "file_hash": "f547cf3a80d5224ecd5edba4808dfe18db745e2ae1af230698596447b9f18c2c",
  "private": false,
  "record": {
    "abstract": "The smallness of the variation rate of the hamiltonian matrix elements\ncompared to the (square of the) energy spectrum gap is usually believed to be\nthe key parameter for a quantum adiabatic evolution. However it is only\nperturbatively valid for scaled timed hamiltonian and resonance processes as\nwell as off resonance possible constructive St\\\"{u}ckelberg interference\neffects violate this usual condition for general hamiltionian. More general\nadiabatic condition and exact bounds for adiabatic quantum evolution are\nderived and studied in the framework of a two-level system. The usual criterion\nis restored for real two level hamiltonian with small number of monotonicity\nchanges of the hamiltonian matrix elements and its derivative.",
    "arxiv_id": "quant-ph/0607118",
    "authors": [
      "Daniel Comparat"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "General conditions for a quantum adiabatic evolution",
    "url": "https://arxiv.org/abs/quant-ph/0607118"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "17b55bd1-66dc-4e8f-892a-52d636abeffe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}