{
  "abstract": "We study a two-dimensional electron gas in the integer quantum Hall regime coupled to a single spatially modulated cavity mode in the static off-resonant limit. Retaining both paramagnetic and diamagnetic contributions on equal footing, we derive a gauge complete single-particle Hamiltonian in which virtual photon exchange generates a periodic kinetic renormalization and a diamagnetic scalar potential. Both terms transfer momentum by $2k_0$ and displace guiding centers by $ΔX=2k_0\\ell_B^2$, forming a finite-$k_0$ momentum ladder. Diagonalizing the strip Hamiltonian, we find that the ladder reconstructs the Landau-level band structure and redistributes, rather than multiplies, the associated chiral edge states. Occupied-subspace Chern numbers remain $C_ν=ν$ for $ν=1,2,3$ throughout $0\\leλ_{\\mathrm{cav}}\\le 0.5$, while the bulk gaps decrease without closing. Strip Kubo responses show cavity-induced displacements of the Hall-step energies; at finite width the plateau heights are noninteger and approach the integers as $L_x$ increases. The ladder is spectrally resolved at $k_0\\ell_B=0.5$ and collapses at $k_0\\ell_B=0.1$. These results isolate a spatially local, finite-$k_0$ momentum ladder as a clean-system mechanism by which a structured vacuum field reconstructs quantum Hall spectra and strip transport without changing the integer topology, complementary to cavity-mediated all-to-all hopping.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12956",
  "author_total": 2,
  "authors": [
    {
      "name": "Zi-Heng Zhu"
    },
    {
      "name": "Yu Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0v6depj2w5f71.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12956",
  "fulltext_url": null,
  "id": "0v6depj2w5f71",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12956",
  "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.mes-hall"
    ],
    [
      "openalex",
      "3107|Quantum and electron transport phenomena"
    ]
  ],
  "openalex": "W7221517759",
  "pdf_url": "https://arxiv.org/pdf/2610.12956",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0v6depj2w5f71.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.12956",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12956"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Vacuum-field-mediated Landau-level reconstruction in a cavity-coupled two-dimensional electron gas",
  "title_text": "Vacuum-field-mediated Landau-level reconstruction in a cavity-coupled two-dimensional electron gas",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/0v6depj2w5f71",
  "venue": "arXiv",
  "versions": []
}