{
  "abstract": "We study the dynamics of an ensemble of $N$ two-level emitters undergoing collective decay at rate $Γ$ and collective incoherent pumping at rate $R$, confined to the fully symmetric Dicke ladder. Although the population dynamics are confined to a finite set of rate equations, their quantum-trajectory representation involves infinitely many pump-decay histories. We derive an exact finite continued fraction for the Laplace-transformed Dicke-state populations by resumming the infinitely many quantum trajectories generated by competing pump and decay processes. Our construction provides a physically transparent interpretation of the tridiagonal resolvent and extends to arbitrary permutationally symmetric initial states. In the strong- and weak-pumping regimes, we obtain perturbative transient solutions. We also identify exact relaxation eigenvalues and emission observables at balanced pump and decay strengths. Our solution provides a starting point for extending trajectory-based analytical methods to more general driven-dissipative collective systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37665",
  "author_total": 7,
  "authors": [
    {
      "name": "Avishi Poddar"
    },
    {
      "name": "Nico Baßler"
    },
    {
      "name": "Julian Lyne"
    },
    {
      "name": "Susanne F. Yelin"
    },
    {
      "name": "Helmut Ritsch"
    },
    {
      "name": "Claudiu Genes"
    },
    {
      "name": "Raphael Holzinger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9d26s9yp2b2wd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37665",
  "fulltext_url": null,
  "id": "9d26s9yp2b2wd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37665",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Strong Light-Matter Interactions"
    ]
  ],
  "openalex": "W7224106607",
  "pdf_url": "https://arxiv.org/pdf/2610.37665",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9d26s9yp2b2wd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37665",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37665"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Exact Analytical Treatment of Collectively Pumped Dicke Superradiance",
  "title_text": "Exact Analytical Treatment of Collectively Pumped Dicke Superradiance",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/9d26s9yp2b2wd",
  "venue": "arXiv",
  "versions": []
}