The Instability of a Quantum Superposition of Time Dilations

• URL: http://arxiv.org/abs/1410.2303v2
• Date: Fri, 27 Dec 2024 13:02:53 GMT
• Title: The Instability of a Quantum Superposition of Time Dilations
• Authors: Louk Rademaker, Tom van der Reep, Nick Van den Broeck, Bob van Waarde, Marc de Voogd, Tjerk Oosterkamp,
• Abstract summary: We show that a superposition of gravitational potentials can lead to nonunitary time evolution. A probe particle in a superposition of weak gravitational fields will, however, experience dephasing due to the different time dilations. The corresponding instability timescale is accessible to experiments, and can be used as a degree of macroscopicity.
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• Abstract: Using the relativistic concept of time dilation we show that a superposition of gravitational potentials can lead to nonunitary time evolution. For sufficiently weak gravitational potentials one can still define, for all intents and purposes, a global coordinate system. A probe particle in a superposition of weak gravitational fields will, however, experience dephasing due to the different time dilations. The corresponding instability timescale is accessible to experiments, and can be used as a degree of macroscopicity. Finally, we suggest an experiment with smoothly tunable amplification in a microwave interferometer that allows a quantitative study of the quantum to classical boundary.

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