{
  "annotation_id": "e63c1815-6580-4a83-ab59-16691bb00f61",
  "date_created": "2026-03-02T18:02:37.968000Z",
  "date_modified": "2026-03-02T18:02:37.968000Z",
  "file_hash": "30cac52dc2221b8d7262f9cd5e2266b9f92ce689c6ae29a4ffa1d7a28b94bcc1",
  "private": false,
  "record": {
    "abstract": "Classical lattice gas automata effectively simulate physical processes such\nas diffusion and fluid flow (in certain parameter regimes) despite their\nsimplicity at the microscale. Motivated by current interest in quantum\ncomputation we recently defined quantum lattice gas automata; in this paper we\ninitiate a project to analyze which physical processes these models can\neffectively simulate. Studying the single particle sector of a one dimensional\nquantum lattice gas we find discrete analogues of plane waves and wave packets,\nand then investigate their behaviour in the presence of inhomogeneous\npotentials.",
    "arxiv_id": "quant-ph/9611005",
    "authors": [
      "David A. Meyer"
    ],
    "categories": [
      "quant-ph",
      "comp-gas",
      "nlin.CG"
    ],
    "doi": "10.1103/PhysRevE.55.5261",
    "title": "Quantum mechanics of lattice gas automata. I. One particle plane waves   and potentials",
    "url": "https://arxiv.org/abs/quant-ph/9611005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfbfe6f0-2cd2-4cbe-a188-7cca7a336bbb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}