Time Dilation of Quantum Clocks in a Relativistic Gravitational Potential
Year: 2025
Authors: Favalli T., Smerzi A.
Autors Affiliation: Univ Trieste, Dept Phys, Str Costiera 11, I-34151 Trieste, Italy; CNR, QSTAR, INO, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.
Abstract: 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.
Journal/Review: ENTROPY
Volume: 27 (5) Pages from: 489-1 to: 489-12
More Information: We acknowledge the European Commission through the H2020 QuantERA ERA-NET Cofund in Quantum Technologies project \u201CMENTA\u201D. T.F. acknowledges the Project \u201CNational Quantum Science and Technology Institute\u2013NQSTI\u201D Spoke 3 \u201CAtomic, molecular platform for quantum technologies\u201D. T.F. also thanks Lapo Casetti, Andrea Trombettoni and Lorenzo Bartolini for useful discussions. A.S. thanks Vasilis Kiosses for discussions.KeyWords: quantum time; gravitational quantum mechanicsDOI: 10.3390/e27050489
