{
  "abstract": "We investigate gravitationally generated entanglement in two quantum harmonic oscillators induced by quadratic (Stelle) gravity, including corrections up to $1.5$ post-Newtonian order. Starting from the quadratic action, we derive the effective two-body Hamiltonian for two harmonically trapped masses, incorporating the contributions of the massive spin-$2$ ghost ($m_2$) and massive spin-$0$ ($m_0$) degrees of freedom of the gravitational field. For two quantised oscillators prepared in their ground state, we compute the von Neumann and Rényi entropies of the reduced state and identify a frequency at which the gravitationally-induced entanglement vanishes due to cancellation between relativistic momentum squeezing and quantum-delocalisation-induced position squeezing. We further analyze the cancellation frequency and derive the approximate constraint $m_0 < \\sqrt[3]{4}\\, m_2$ for the spin-$2$ and spin-$0$ modes. This relation follows from demanding a stable harmonic oscillator description. Finally, we study gravitationally-induced concurrence in a non-Gaussian setup and show how quadratic gravity modifies the entanglement generated between two spatial superpositions. The concurrence can approach $\\mathcal{O}(1)$ for certain choices of mass, spatial superposition, particle distance, and spin-$2$ and spin-$0$ modes. The concurrence will deviate from Newtonian gravity at certain particle separations, depending on the energy of the spin-$2$ and spin-$0$ modes. For example, spin modes as low as $0.0197$ eV become distinguishable from Newtonian gravity at a distance $d \\sim 40 μ$m. This allows us to constrain the spin-$2$ and spin-$0$ masses in experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22501",
  "author_total": 3,
  "authors": [
    {
      "name": "Linda M. van Manen"
    },
    {
      "name": "Tim Blankenstein"
    },
    {
      "name": "Anupam Mazumdar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/55s37ffsjbsqk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22501",
  "fulltext_url": null,
  "id": "55s37ffsjbsqk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22501",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214043441",
  "pdf_url": "https://arxiv.org/pdf/2609.22501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/55s37ffsjbsqk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.22501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22501"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Gravitationally Induced Entanglement of Matter in Quadratic Curvature Gravity and Constraints on Ghost Mass",
  "title_text": "Gravitationally Induced Entanglement of Matter in Quadratic Curvature Gravity and Constraints on Ghost Mass",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/55s37ffsjbsqk",
  "venue": "arXiv",
  "versions": []
}