Entangled quantum clocks as operational probes of spacetime curvature

• URL: http://arxiv.org/abs/2607.05715v1
• Date: Tue, 07 Jul 2026 00:58:35 GMT
• Title: Entangled quantum clocks as operational probes of spacetime curvature
• Abstract summary: We study two localized nonrelativistic quantum particles propagating along timelike geodesics in a curved spacetime background.<n>We compute the covariance of the resulting time observables for separable and entangled two-particle states.<n>We show that spacetime curvature can modify operationally defined quantum correlations.
• Score: 41.99844472131922
• License: http://creativecommons.org/licenses/by/4.0/
• 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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