{
  "annotation_id": "68771494-b446-4f39-93ae-41f09a4d5e3d",
  "date_created": "2026-03-02T18:02:47.316000Z",
  "date_modified": "2026-03-02T18:02:47.316000Z",
  "file_hash": "94813354fc808c93181d040ee7e8040047c518d05a71a9b3a708a81f9f47537f",
  "private": false,
  "record": {
    "abstract": "We present a detailed numerical study of a chaotic classical system and its\nquantum counterpart. The system is a special case of a kicked rotor and for\ncertain parameter values possesses cantori dividing chaotic regions of the\nclassical phase space. We investigate the diffusion of particles through a\ncantorus; classical diffusion is observed but quantum diffusion is only\nsignificant when the classical phase space area escaping through the cantorus\nper kicking period greatly exceeds Planck\u0027s constant. A quantum analysis\nconfirms that the cantori act as barriers. We numerically estimate the\nclassical phase space flux through the cantorus per kick and relate this\nquantity to the behaviour of the quantum system. We introduce decoherence via\nenvironmental interactions with the quantum system and observe the subsequent\nincrease in the transport of quantum particles through the boundary.",
    "arxiv_id": "quant-ph/9905051",
    "authors": [
      "G Ball",
      "K Vant",
      "N Christensen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.61.1299",
    "journal_ref": "Phys.Rev.E61:1299-1311,2000",
    "title": "A Numerical Investigation of the Effects of Classical Phase Space   Structure on a Quantum System",
    "url": "https://arxiv.org/abs/quant-ph/9905051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16330d39-eab5-4c82-95fc-188e57202336",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}