{
  "annotation_id": "41c90528-90ed-4de1-9a3e-4f9067782552",
  "date_created": "2026-03-02T18:02:47.384000Z",
  "date_modified": "2026-03-02T18:02:47.384000Z",
  "file_hash": "0497803aa5406a461997220e9c92aec56b224a999d9b0e829466405f16a66451",
  "private": false,
  "record": {
    "abstract": "Quantum carpets are generic spacetime patterns formed in the probability\ndistributions P(x,t) of one-dimensional quantum particles, first discovered in\n1995. For the case of an infinite square well potential, these patterns are\nshown to have a detailed quantitative explanation in terms of a travelling-wave\ndecomposition of P(x,t). Each wave directly yields the time-averaged structure\nof P(x,t) along the (quantised)spacetime direction in which the wave\npropagates. The decomposition leads to new predictions of locations, widths\ndepths and shapes of carpet structures, and results are also applicable to\nlight diffracted by a periodic grating and to the quantum rotator. A simple\nconnection between the waves and the Wigner function of the initial state of\nthe particle is demonstrated, and some results for more general potentials are\ngiven.",
    "arxiv_id": "quant-ph/9906107",
    "authors": [
      "Michael J. W. Hall",
      "Martina S. Reineker",
      "Wolfgang P. Schleich"
    ],
    "categories": [
      "quant-ph",
      "physics.optics"
    ],
    "doi": "10.1088/0305-4470/32/47/307",
    "journal_ref": "J.Phys.A32:8275-8291,1999",
    "title": "Unravelling quantum carpets: a travelling wave approach",
    "url": "https://arxiv.org/abs/quant-ph/9906107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4fa0b2a5-3472-4617-ba60-0e18721261aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}