{
  "annotation_id": "7dbe66f1-0ded-45aa-ba18-9b2fa5f89cc3",
  "date_created": "2026-03-02T18:02:31.098000Z",
  "date_modified": "2026-03-02T18:02:31.098000Z",
  "file_hash": "cffd11d4edd0a097a2db6e258687cfaf416c2178019e09ee96121470a443f513",
  "private": false,
  "record": {
    "abstract": "Dynamical tunnelling between symmetry-related stable modes is studied in the\nperiodically driven pendulum. We present strong evidence that the tunnelling\nprocess is governed by nonlinear resonances that manifest within the regular\nphase-space islands on which the stable modes are localized. By means of a\nquantitative numerical study of the corresponding Floquet problem, we identify\nthe trace of such resonances not only in the level splittings between\nnear-degenerate quantum states, where they lead to prominent plateau\nstructures, but also in overlap matrix elements of the Floquet eigenstates,\nwhich reveal characteristic sequences of avoided crossings in the Floquet\nspectrum. The semiclassical theory of resonance-assisted tunnelling yields good\noverall agreement with the quantum-tunnelling rates, and indicates that partial\nbarriers within the chaos might play a prominent role.",
    "arxiv_id": "quant-ph/0609003",
    "authors": [
      "Amaury Mouchet",
      "Christopher Eltschka",
      "Peter Schlagheck"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.74.026211",
    "journal_ref": "Physical Review E 74 (2006) 026211",
    "title": "Influence of classical resonances on chaotic tunnelling",
    "url": "https://arxiv.org/abs/quant-ph/0609003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8ec9b72-5fa0-4109-8c46-15a799b63bb7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}