{
  "annotation_id": "85ad012a-8090-4d6d-847d-8b0efa08cb77",
  "date_created": "2026-03-02T18:02:20.604000Z",
  "date_modified": "2026-03-02T18:02:20.604000Z",
  "file_hash": "cd4456a5d2dec02bd300728758b72cc05e2cddda105b3e46f2615e4bb0ef4f4b",
  "private": false,
  "record": {
    "abstract": "Marzlin and Sanders \\cite{marzlin} have shown rigorously that the adiabatic\napproximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that\ngenerates the evolution $U^{\\dagger} (t)$ even if it gives an excellent\napproximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$.\nWe show that this is not inconsistent with the adiabatic theorem and find that\nin general even if $h(t)$ satisfies the conditions of the adiabatic theorem,\n$H(t)$ will likely violate those conditions.",
    "arxiv_id": "quant-ph/0510131",
    "authors": [
      "Solomon Duki",
      "H. Mathur",
      "Onuttom Narayan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Is the Adiabatic Approximation Inconsistent?",
    "url": "https://arxiv.org/abs/quant-ph/0510131"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1d6abc8c-09b2-4387-b3c4-187d17c84c92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}