Gravity-induced Entanglement under Constrained Dynamics

• URL: http://arxiv.org/abs/2605.00967v1
• Date: Fri, 01 May 2026 15:41:18 GMT
• Title: Gravity-induced Entanglement under Constrained Dynamics
• Abstract summary: Tests of gravity-induced entanglement have been proposed as a route to probing the quantum nature of gravity.<n>Existing schemes rely on free-fall interferometry of massive spatial superpositions, imposing severe experimental constraints.<n>We show that systems exhibiting effectively inertial dynamics in the short-time regime reproduce the same gravitational phase accumulation responsible for entanglement generation.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Tests of gravity-induced entanglement have been proposed as a route to probing the quantum nature of gravity, but existing schemes rely on free-fall interferometry of massive spatial superpositions, imposing severe experimental constraints. We show that systems exhibiting effectively inertial dynamics in the short-time regime reproduce the same gravitational phase accumulation responsible for entanglement generation. Deviations from the free-fall phase enter at order $(t/T)^2$, where $t$ is the interferometer timescale and $T$ is the characteristic period of the constrained motion. We analyse a representative mechanically constrained implementation using carbon nanotube pendula and show that the resulting correction to the entangling phase remains below $10^{-6}$ in experimentally relevant regimes, leading to a negligible modification of the interference visibility used to certify entanglement. These results demonstrate that gravity-induced entanglement protocols extend beyond free-fall implementations to a broader class of constrained dynamical systems, significantly relaxing the requirements for experimental realisation of the Bose-Marletto-Vedral protocol.

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