{
  "abstract": "We develop a scalable Green's-function theory of vibrationally dressed molecular-polariton absorption in the Holstein--Tavis--Cummings model. Within the self-consistent Born approximation (SCBA), the ground-state linear response of $N$ identical molecules coupled to one cavity mode follows from a $2\\times2$ cavity--bright matrix, while scattering through the $N-1$ dark states remains in the molecular self-energy. The number of self-consistent equations is independent of $N$, allowing large ensembles to be treated without explicitly resolving the dark manifold. Benchmarks against hierarchical equations of motion show that the theory captures collective linewidth narrowing and an $N$-dependent minimum in the lower-polariton linewidth as its exciton fraction varies, beyond a Hopfield-weighted linewidth estimate. Comparisons with exact diagonalization for discrete local vibrations show weaker vibronic progressions and better overall SCBA agreement as $N$ increases at fixed single-molecule coupling. The resulting framework connects microscopic vibrational scattering to collective absorption spectra without introducing fitted polariton linewidths.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20912",
  "author_total": 3,
  "authors": [
    {
      "name": "Wenxiang Ying"
    },
    {
      "name": "Michael Galperin"
    },
    {
      "name": "Abraham Nitzan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jxcmpvbjp0r5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20912",
  "fulltext_url": null,
  "id": "6jxcmpvbjp0r5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20912",
  "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",
      "physics.chem-ph"
    ],
    [
      "openalex",
      "3107|Strong Light-Matter Interactions"
    ]
  ],
  "openalex": "W7222743348",
  "pdf_url": "https://arxiv.org/pdf/2610.20912",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jxcmpvbjp0r5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20912",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20912"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    }
  ],
  "title": "Vibrational Dressing of Collective Molecular Polaritons: A Scalable Green's-Function Theory",
  "title_text": "Vibrational Dressing of Collective Molecular Polaritons: A Scalable Green's-Function Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/6jxcmpvbjp0r5",
  "venue": "arXiv",
  "versions": []
}