{
  "abstract": "We show how a gyrotropic cavity vacuum generates, probes, and spatially programs non-Abelian topology in the Kitaev honeycomb model. Gauge-consistent virtual-photon elimination produces a universal helicity-odd interaction $\\mathrm{i}[P_x,P_y]$ alongside same-order even dressing. For the leading bond polarization, this commutator is exactly the Kitaev three-spin mass. Mode normalization imposes a thermodynamic constraint: one extended normalized mode gives a local mass that vanishes with sample area, whereas a localized mode writes a finite topological island and a finite mode density enables a bulk mass. The exact Majorana solution yields helicity-reversed Chern gaps and edge propagation, while integrated circular dichroism exactly measures the mass generator, $\\langle\\mathrm{i}[P_x,P_y]\\rangle=-\\sqrt3p^2\\langle O_3\\rangle$. Real-space calculations reveal a non-Abelian island and a helicity wall with two co-propagating Majorana modes. Uniform helicity reversal is a Dirac-mass quench with $n_{\\rm ex}\\proptoτ_Q^{-1}$, whereas moving a wall localizes the gap closing. The equilibrium vacuum kernel contains sum-frequency rather than resonant denominators. These results establish distinct criteria for local and bulk cavity-induced topology.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30502",
  "author_total": 1,
  "authors": [
    {
      "name": "Yu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/df16dxh52rtrz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30502",
  "fulltext_url": null,
  "id": "df16dxh52rtrz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30502",
  "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",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7223408556",
  "pdf_url": "https://arxiv.org/pdf/2610.30502",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/df16dxh52rtrz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30502",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30502"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Chiral Cavity Vacua as Local Generators and Probes of Non-Abelian Kitaev Topology",
  "title_text": "Chiral Cavity Vacua as Local Generators and Probes of Non-Abelian Kitaev Topology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/df16dxh52rtrz",
  "venue": "arXiv",
  "versions": []
}