{
  "abstract": "Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model. In this work, we present a first step towards a rigorous justification of this approximation in the context of quantum dynamics in one dimension. According to spin wave theory, the evolution of a spin wave state should be well approximated by its free evolution with the appropriate energy of free quasiparticles called magnons. Our main result establishes this idea rigorously for a class of spin wave packets. We focus on spin-$\\frac{1}{2}$ systems, and consider wave packets composed of two magnons. We argue our result is optimal with respect to the timescales.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17883",
  "author_total": 4,
  "authors": [
    {
      "name": "Mateusz Kwaśnicki"
    },
    {
      "name": "Marcin Napiórkowski"
    },
    {
      "name": "Sören Petrat"
    },
    {
      "name": "Michał Pietruszka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ejwpqrrnmvxay.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17883",
  "fulltext_url": null,
  "id": "ejwpqrrnmvxay",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17883",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7221766669",
  "pdf_url": "https://arxiv.org/pdf/2610.17883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ejwpqrrnmvxay.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17883"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet",
  "title_text": "Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/ejwpqrrnmvxay",
  "venue": "arXiv",
  "versions": []
}