{
  "annotation_id": "9871b376-cc9b-41ad-8dfb-a00f7fe8972f",
  "date_created": "2026-03-02T18:02:09.395000Z",
  "date_modified": "2026-03-02T18:02:09.395000Z",
  "file_hash": "fc56b13ab439277478536b145e8f1baeaba49518d8d4882be58bf49045b8ec86",
  "private": false,
  "record": {
    "abstract": "We investigate the causal propagation of the pulse through dispersive media\nby very precise numerical solution of the coupled Maxwell-Bloch equations\nwithout any approximations about the strength of the input field. We study full\nnonlinear behavior of the pulse propagation through solid state media like ruby\nand alexandrite. We have demonstrated that the information carried by the\ndiscontinuity, {\\it i.e}, front of the pulse, moves inside the media with\nvelocity $c$ even though the peak of the pulse can travel either with\nsub-luminal or with super-luminal velocity. We extend the argument of\nLevi-Civita to prove that the discontinuity would travel with velocity $c$ even\nin a nonlinear medium.",
    "arxiv_id": "quant-ph/0409003",
    "authors": [
      "G. S. Agarwal",
      "Tarak Nath Dey"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340500052572",
    "title": "Causality in Propagation of a Pulse in a Nonlinear Dispersive Medium",
    "url": "https://arxiv.org/abs/quant-ph/0409003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a363ebe-3582-4f73-aaa4-b8b392bfba24",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}