Scattering times of quantum particles from the gravitational potential and equivalence principle violation

Demir, Durmuş Ali (2022) Scattering times of quantum particles from the gravitational potential and equivalence principle violation. Physical Review A, 106 (2). ISSN 2469-9926 (Print) 2469-9934 (Online)

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Abstract

Universality of motion under gravity, the equivalence principle, is violated for quantum particles. Here, we study the time it takes for a quantum particle to scatter from the gravitational potential and show that the scattering time, formulated here using the opportune Bohmian formulation, acts as an indicator of the equivalence principle violation. The scattering times of wave packets are distinctive enough to distinguish between the Bohmian and Copenhagen interpretations. The scattering time of monoenergetic stationary states, formulated here as a modification of the Bohmian time by probability undercurrents, turns out to be a sensitive probe of the equivalence principle violation. We derive the quantum scattering times and analyze equivalence principle violating terms systematically. We discuss the experimental setup needed for measuring the violation, and describe implications of a possible measurement for time in quantum theory, including the tunneling time.
Item Type: Article
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Durmuş Ali Demir
Date Deposited: 21 Sep 2022 15:08
Last Modified: 21 Sep 2022 15:08
URI: https://research.sabanciuniv.edu/id/eprint/44498

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