{
  "annotation_id": "f4d15156-0356-42e2-bc1e-bc4d3a7dff05",
  "date_created": "2026-03-02T18:02:13.402000Z",
  "date_modified": "2026-03-02T18:02:13.402000Z",
  "file_hash": "510a98190381b3ed24dd91f92a53f15ce125763b1c6c8f7dc743a49eac5b375e",
  "private": false,
  "record": {
    "abstract": "The propagation by continuous time quantum walks (CTQWs) on one-dimensional\nlattices shows structures in the transition probabilities between different\nsites reminiscent of quantum carpets. For a system with periodic boundary\nconditions, we calculate the transition probabilities for a CTQW by\ndiagonalizing the transfer matrix and by a Bloch function ansatz. Remarkably,\nthe results obtained for the Bloch function ansatz can be related to results\nfrom (discrete) generalized coined quantum walks. Furthermore, we show that\nhere the first revival time turns out to be larger than for quantum carpets.",
    "arxiv_id": "quant-ph/0502004",
    "authors": [
      "Oliver Muelken",
      "Alexander Blumen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.71.036128",
    "journal_ref": "Phys. Rev. E 71, 036128 (2005)",
    "title": "Spacetime structures of continuous time quantum walks",
    "url": "https://arxiv.org/abs/quant-ph/0502004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "af3820cf-71d1-450b-8bbd-7a569220a602",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}