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    Boosting gravity-induced entanglement through parametric resonance

    Yuka Shiomatsu1,*, Youka Kaku2,†, Akira Matsumura3,4,‡, and Tomohiro Fujita1,5,§

    • *Contact author: g2540616@edu.cc.ocha.ac.jp
    • †Contact author: youkakaku@pegasus.kobe-u.ac.jp
    • ‡Contact author: matsumura.akira@phys.kyushu-u.ac.jp
    • §Contact author: fujita.tomohiro@ocha.ac.jp

    Phys. Rev. D 113, 124002 – Published 1 June, 2026

    DOI: https://doi.org/10.1103/thdy-dwcq

    Abstract

    Establishing quantum gravity theory remains one of the major challenges in modern physics, as the lack of experimental evidence makes it difficult to explore. In response to this challenge, proposals to test quantum entanglement induced by Newtonian gravity in tabletop experiments have attracted significant attention as a potentially feasible approach far below the Planck energy scale. In this work, we propose a scheme to amplify gravity-induced entanglement between two masses using parametric resonance. Specifically, we consider two parametrically resonant oscillators interacting through Newtonian gravity, each governed by the Mathieu equation. We analyze the logarithmic negativity between two oscillators and investigate the effects of random force noise and linear damping. As a result, we find an exponential growth of gravity-induced entanglement between the oscillators, which reflects the dynamical instability of parametric resonant systems.

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