Time Dilation of Quantum Clocks in a Relativistic Gravitational Potential

We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigat...

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Bibliographic Details
Main Authors: Tommaso Favalli, Augusto Smerzi
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/27/5/489
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Summary:We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum-time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed.
ISSN:1099-4300