Gravity-induced entanglement under constrained dynamics
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 (τ/T)2, where τ is the interaction 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 small 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, complementing existing proposals for experimental realisations of the Bose-Marletto-Vedral protocol.
Versions
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BibTeX
@misc{williams2026gravityinduced,
title = {{Gravity-induced entanglement under constrained dynamics}},
author = {Hollis Williams},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.00967},
eprint = {2605.00967},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.00967},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Gravity-induced entanglement under constrained dynamics
AU - Hollis Williams
PY - 2026
DA - 2026/08/16
PB - arXiv
DO - 10.48550/arxiv.2605.00967
UR - https://arxiv.org/abs/2605.00967
AB - 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 (τ/T)^2, where τ is the interaction 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 small 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, complementing existing proposals for experimental realisations of the Bose-Marletto-Vedral protocol.
ER -