{
  "abstract": "We investigate how structural correlations beyond the power spectrum affect phonon counting in a one-dimensional acoustic stack. An integer-thickness construction cancels the extensive leading backscattering term and leaves a finite-chain reflection amplitude determined by endpoint innovations. For symmetric independent innovations with unit variance and fourth moment $μ_4$, the normalized reflected-power second moment tends to $(μ_4+5)/4$. With vacuum environmental inputs, a two-phonon Fock input therefore gives an ensemble-averaged reflected factorial correlation $g^{(2)}=(μ_4+5)/8$. Two explicitly constructed ensembles with identical mean and complete two-point correlation function yield $g^{(2)}=3/4$ and $9/8$, placing their counting variances on opposite sides of the Poisson value. Conditional tensor averaging also gives a general fourth-order resistance-growth coefficient for arbitrary impedance contrast, including a positive higher-scattering contribution not recovered by shifting the lowest-order spectrum. Exact enumeration confirms the fixed-$N$, small-detuning limit and shows that increasing $N$ at fixed detuning produces a crossover governed by accumulated higher-order bulk scattering rather than convergence to the endpoint formula. Further calculations test bandwidth, thickness error, propagation loss and thermal background. The result concerns disorder-averaged pulse statistics; it neither creates nonclassicality from coherent input nor changes the conditional factorial correlation of an individually resolved passive sample.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25153",
  "author_total": 1,
  "authors": [
    {
      "name": "Ara Sedrakyan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c4ygcav66jyzd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25153",
  "fulltext_url": null,
  "id": "c4ygcav66jyzd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25153",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2204|Acoustic Wave Phenomena Research"
    ]
  ],
  "openalex": "W7223054138",
  "pdf_url": "https://arxiv.org/pdf/2610.25153",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c4ygcav66jyzd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25153",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25153"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Higher-order disorder correlations control reflected phonon counting statistics",
  "title_text": "Higher-order disorder correlations control reflected phonon counting statistics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/c4ygcav66jyzd",
  "venue": "arXiv",
  "versions": []
}