{
  "annotation_id": "f3288859-c966-4941-9408-2d3b2b87fa18",
  "date_created": "2026-03-02T18:01:38.908000Z",
  "date_modified": "2026-03-02T18:01:38.908000Z",
  "file_hash": "2d9f495f9c5de2621cfafcf1a9274774b4f8be0eb2b3b7242b30d89143a83996",
  "private": false,
  "record": {
    "abstract": "We discuss a model in which a quantum particle passes through $\\delta$\npotentials arranged in an increasingly sparse way. For infinitely many barriers\nwe derive conditions, expressed in terms ergodic properties of wave function\nphases, which ensure that the point and absolutely continuous parts are absent\nleaving a purely singularly continuous spectrum. For a finite number of\nbarriers, the transmission coefficient shows extreme sensitivity to the\nparticle momentum with fluctuation in many different scales. We discuss a\npotential application of this behavior for erasing the information carried by\nthe wave function.",
    "arxiv_id": "quant-ph/0004058",
    "authors": [
      "Taksu Cheon",
      "Pavel Exner",
      "Petr Seba"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(00)00690-3",
    "journal_ref": "Phys. Lett. A 277 (2000) 1",
    "title": "Wave Function Shredding by Sparse Quantum Barriers",
    "url": "https://arxiv.org/abs/quant-ph/0004058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bdbc2de4-d06d-41d4-9ceb-f62fbd272067",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}