{
  "abstract": "For more than half a century, the standard quantum limit (SQL) was thought to limit the laser coherence $\\mathfrak{C}$ -- the number of photons emitted from the laser into the beam in one coherence time -- to a scaling $Θ(μ^2)$, where $μ$ is the mean number of optical-frequency excitations stored inside the laser. However, recently it has been shown [Baker et al., Nat. Phys. 17, 179 (2021)] that the Heisenberg limit -- an achievable ultimate limit set by quantum mechanics for the task of producing a beam with the standard properties of a laser beam -- is $\\mathfrak{C}=Θ(μ^4)$, a quadratic enhancement. So far, proposals to demonstrate beyond-SQL scaling of $\\mathfrak{C}$ have been limited to circuit QED, at microwave frequencies (i.e., a maser). Here, we introduce a class of generalized far-above-threshold (FAT) laser models, obtained by replacing the ordinary bosonic lowering operator $\\hat{a}$ by a general lowering operator $\\hat{L}$ in the superoperators appearing in the master equation that governs the FAT laser dynamics. We then show that an optical-frequency superradiant laser in the bad-cavity limit, with feedback-controlled collective pumping, realizes one such model, in which $\\hat{L}$ is identified with the collective superradiant lowering operator $\\hat{J}$. This model can surpass the SQL scaling, with the coherence exhibiting a scaling as large as $\\mathfrak{C}= Θ(μ^{8/3})$ in the optimal parameter regime. Here, in the bad-cavity limit, $μ\\approx N/2$, where $N$ is the number of superradiant atoms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05976",
  "author_total": 2,
  "authors": [
    {
      "name": "Ori Somech"
    },
    {
      "name": "Howard M. Wiseman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e5tdteb9edkcy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05976",
  "fulltext_url": null,
  "id": "e5tdteb9edkcy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05976",
  "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.atom-ph"
    ],
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05976",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e5tdteb9edkcy.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05976",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05976"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.atom-ph",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Collectively pumped superradiant laser with coherence scaling beyond the standard quantum limit",
  "title_text": "Collectively pumped superradiant laser with coherence scaling beyond the standard quantum limit",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:10Z",
  "url": "https://research.draconitic.com/paper/e5tdteb9edkcy",
  "venue": "arXiv",
  "versions": []
}