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Entangled quantum clocks as operational probes of spacetime curvature

Ivana Đorđević, Aleksandra Gočanin*, and Dragoljub Gočanin

  • *Contact author: aleksandra.gocanin@ff.bg.ac.rs
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Phys. Rev. D 114, 085009 – Published 9 October, 2026

DOI: https://doi.org/10.1103/9xch-1464

Abstract

Building on the framework developed by Perche [Phys. Rev. D 106, 025018 (2022)], we study two localized nonrelativistic quantum particles propagating along timelike geodesics in a curved spacetime background. Each particle is coupled to a quantum clock that operationally records the time spent in a prescribed spatial region. We compute the covariance of the resulting time observables for separable and entangled two-particle states, comparing flat and curved backgrounds. We then reformulate the protocol as a Bell-like experiment and show that the Bell parameter can acquire a curvature-induced correction. In particular, a protocol calibrated to saturate the classical bound in flat spacetime can be driven above this bound in curved spacetime for entangled states. We focus on two-dimensional curved backgrounds in which the local tidal term induces an effective harmonic potential in the Fermi-frame description. Our results show that spacetime curvature can modify operationally defined quantum correlations and suggest entangled quantum clocks as probes of spacetime curvature.

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Phys. Rev. D 114, 085009– Published 9 October, 2026
  • Received 9 July 2026
  • Accepted 24 September 2026
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