{
  "abstract": "Floquet topological order (FTO) extends topology beyond equilibrium, giving rise to phenomena, such as the dynamical transmutation of anyons. Here, we realize $\\mathbb{Z}_N$ FTO in a generalized Kitaev honeycomb model with clock degrees of freedom using a three-step periodic drive. The driven system admits an emergent description in terms of constrained parafermions coupled to conserved $\\mathbb{Z}_N$ gauge fields. At the boundary, the drive generates chiral parafermionic Floquet edge modes. We resolve their propagation through correlation functions, characterize their fractional quantum-information transport through the radical chiral unitary index, and use their dynamics to probe exchange statistics. In the bulk, we explore the dynamical anyon transmutation with a non-equilibrium loop order parameter. At a Floquet sweet spot, where the drive becomes Clifford, these phenomena can be accessed using stabilizer simulations. Short-time matrix-product-state simulations away from this point show that the chiral edge response persists at accessible times. Our results establish $\\mathbb{Z}_N$ Kitaev models as a setting for exploring intrinsically non-equilibrium topological phenomena on qudit-based quantum processors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07156",
  "author_total": 6,
  "authors": [
    {
      "name": "Melissa Will"
    },
    {
      "name": "Harald Schmid"
    },
    {
      "name": "Jan Egger"
    },
    {
      "name": "Adam Gammon-Smith"
    },
    {
      "name": "Michael Knap"
    },
    {
      "name": "Frank Pollmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1rjg4syp21z5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07156",
  "fulltext_url": null,
  "id": "b1rjg4syp21z5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07156",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220982177",
  "pdf_url": "https://arxiv.org/pdf/2610.07156",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b1rjg4syp21z5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07156",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07156"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Chiral Parafermions in Floquet $\\mathbb{Z}_N$ Topological Order",
  "title_text": "Chiral Parafermions in Floquet ℤ_N Topological Order",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/b1rjg4syp21z5",
  "venue": "arXiv",
  "versions": []
}