{
  "annotation_id": "5e7af69d-e209-4a93-a200-3e80fde1190d",
  "date_created": "2026-03-02T18:02:03.176000Z",
  "date_modified": "2026-03-02T18:02:03.176000Z",
  "file_hash": "2984529415fce805079c773f161f6bcfc3a4ae9bf6c29ec0b0327c59c8a24d7b",
  "private": false,
  "record": {
    "abstract": "We demonstrate fractal noise in the quantum evolution of wave packets moving\neither ballistically or diffusively in periodic and quasiperiodic tight-binding\nlattices, respectively. For the ballistic case with various initial\nsuperpositions we obtain a space-time self-affine fractal $\\Psi(x,t)$ which\nverify the predictions by Berry for \"a particle in a box\", in addition to\nquantum revivals. For the diffusive case self-similar fractal evolution is also\nobtained. These universal fractal features of quantum theory might be useful in\nthe field of quantum information, for creating efficient quantum algorithms,\nand can possibly be detectable in scattering from nanostructures.",
    "arxiv_id": "quant-ph/0310125",
    "authors": [
      "E. J. Amanatidis",
      "D. E. Katsanos",
      "S. N. Evangelou"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1103/PhysRevB.69.195107",
    "title": "Fractal Noise in Quantum Ballistic and Diffusive Lattice Systems",
    "url": "https://arxiv.org/abs/quant-ph/0310125"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54d36ab4-d359-493b-814d-fd546f10c551",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}