{
  "abstract": "Understanding what limits many-body quantum entanglement is a central problem in physics. Spatial locality has long provided a fundamental mechanism: correlations between a region and its complement must be mediated through a small spatial interface, thereby constraining their entanglement. Here we show that universal constraints on entanglement can persist even when interactions are strongly nonlocal, through collectivity: many weak interactions generate fluctuations controlled by their square-summed, rather than total, strength. We establish this mechanism rigorously for generic gapped Hamiltonians with Kac-normalized power-law interactions $r^{-α}$ on a $D$-dimensional lattice. For arbitrary bipartitions, we prove that the ground-state entanglement scales at most logarithmically with system size for $α<D/2$ and subextensively for $D/2<α<D$, due to suppressed collective fluctuations around individual sites. For spatially regular bipartitions with codimension-one boundaries, we use a renormalization-group construction to extend this suppression to larger length scales, yielding polylogarithmic scaling for $D/2 < α< (D+1) / 2$ and parametrically stronger subvolume bounds for $(D+1)/2<α<D$. We also establish the corresponding optimality results: for arbitrary bipartitions, the logarithmic scaling for $α<D/2$ is optimal and $α=D/2$ marks the optimal threshold for universal logarithmic bounds, while for regular bipartitions the threshold at $α=(D+1)/2$ is likewise optimal for universal polylogarithmic bounds when $D\\ge2$. Together, these results reveal collectivity as a fundamental mechanism for constraining many-body entanglement alongside spatial locality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36113",
  "author_total": 2,
  "authors": [
    {
      "name": "Donghoon Kim"
    },
    {
      "name": "Tomotaka Kuwahara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ka9b9bq8csfq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36113",
  "fulltext_url": null,
  "id": "2ka9b9bq8csfq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36113",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214898427",
  "pdf_url": "https://arxiv.org/pdf/2609.36113",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ka9b9bq8csfq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2609.36113",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36113"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Collectivity limits quantum entanglement",
  "title_text": "Collectivity limits quantum entanglement",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/2ka9b9bq8csfq",
  "venue": "arXiv",
  "versions": []
}