{
  "abstract": "A charge-$r$ coupling vortex can remain as one fused order-$r$ zero or split into $r$ nearby unit-charge zeros after weak symmetry breaking. The two configurations have the same total winding and the same number of dark states in the lowest-Landau-level projection, so neither the imposed orbital angular momentum nor the total winding number distinguishes their local geometry. We study this distinction in a two-component Haldane-sphere model coupled by a Raman field. For monopole flux $N$, the detuning $τ_{\\rm c}$ at which a defect branch crosses zero energy scales as $|τ_{\\rm c}|\\sim N^{-(r+1)}$ for a fused zero and $N^{-2}$ for resolved unit zeros. A Feshbach reduction establishes these asymptotic laws for the full multiband Hamiltonian, and numerical calculations in a monopole-harmonic basis confirm the fused-vortex scaling for $r=1,2,3$. For a partially split cluster of diameter $d$, the scaling crosses over when $d$ is comparable to the magnetic length $\\ell_B$, allowing $d$ to be inferred spectroscopically even below the spatial resolution of direct imaging.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02234",
  "author_total": 3,
  "authors": [
    {
      "name": "Jongheon Baek"
    },
    {
      "name": "Hiroyuki Tajima"
    },
    {
      "name": "Gihwan Nam"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dn2yc7nxhym1q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02234",
  "fulltext_url": null,
  "id": "dn2yc7nxhym1q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02234",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "physics.atom-ph"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7220420237",
  "pdf_url": "https://arxiv.org/pdf/2610.02234",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dn2yc7nxhym1q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.02234",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02234"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Spectral Crossings Diagnose Multiply Quantized Vortex Splitting",
  "title_text": "Spectral Crossings Diagnose Multiply Quantized Vortex Splitting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/dn2yc7nxhym1q",
  "venue": "arXiv",
  "versions": []
}