{
  "annotation_id": "e730da72-5902-46a0-8760-181e2544b501",
  "date_created": "2026-03-02T18:02:48.408000Z",
  "date_modified": "2026-03-02T18:02:48.408000Z",
  "file_hash": "11e20b3cc29c0d699b45235d8f4250aff5e30fb08fb73e98624c4eb534d24190",
  "private": false,
  "record": {
    "abstract": "Adiabatic evolutions with a gap condition have, under a range of\ncircumstances, exponentially small tails that describe the leaking out of the\nspectral subspace. Adiabatic evolutions without a gap condition do not seem to\nhave this feature in general. This is a known fact for eigenvalue crossing. We\nshow that this is also the case for eigenvalues at the threshold of the\ncontinuous spectrum by considering the Friedrichs model.",
    "arxiv_id": "quant-ph/9909063",
    "authors": [
      "J. E. Avron",
      "A. Elgart"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/32/50/102",
    "title": "Smooth adiabatic evolutions with leaky power tails",
    "url": "https://arxiv.org/abs/quant-ph/9909063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "70f58a09-795f-4aa9-a5ee-bd63f1acc236",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}