{
  "abstract": "Scalar-induced gravitational waves (SIGWs) are usually characterized by their power spectrum, although their quadratic scalar source also carries higher-order correlation information. We investigate whether phase-sensitive correlations of a primordial Gaussian scalar state can survive decoherence and be transferred to the induced tensor sector. The scalar state is described in a fixed oscillator basis by the occupation $N_k^ζ$ and anomalous moment $M_k^ζ$, while the transfer is formulated through the unequal-time scalar Wightman function. The late-time tensor moments $d_k$ and $γ_k$ define an effective Gaussian reference state and its discord, whereas the exact SIGW state is generally non-Gaussian and contains an additional connected fourth-order cumulant. We therefore introduce the baseline-subtracted observable $Δκ_{\\rm coh}=κ_N[G^>_{\\rm coh}]-κ_N[G^>_{\\rm ref}]$. For phase damping with $M_k^ζ\\propto e^{-D_k}$, the Gaussian-reference contribution conditionally scales as $|γ_k|\\propto e^{-2D_k}$ and $κ_N^{\\rm G}\\propto e^{-4D_k}$. This provides a framework in which the SIGW spectrum fixes the signal band, while higher-order statistics probe residual coherence beyond the power spectrum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.21901",
  "author_total": 1,
  "authors": [
    {
      "name": "Waqas Ahmed"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7e6a3s96059dc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.21901",
  "fulltext_url": null,
  "id": "7e6a3s96059dc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.21901",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7165656843",
  "pdf_url": "https://arxiv.org/pdf/2606.21901",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7e6a3s96059dc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2606.21901",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.21901"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Entanglement, Discord, and Residual Coherence in Scalar-Induced Gravitational Waves",
  "title_text": "Entanglement, Discord, and Residual Coherence in Scalar-Induced Gravitational Waves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/7e6a3s96059dc",
  "venue": "arXiv",
  "versions": []
}