Possible latitude effects of Chern-Simons gravity on quantum interference

TL;DR

This paper investigates how Chern-Simons gravity could cause latitude-dependent variations in quantum interference phase shifts on Earth, providing numerical predictions for maximum effects at different local times and latitudes.

Contribution

It extends previous work by numerically analyzing time variation of phase shifts for non-equatorial cases and quantifies potential latitude-dependent effects.

Findings

Maximum phase shifts occur at specific local times depending on interferometer orientation.

Phase shift differences between two locations depend on latitude difference, up to 20% for 10-degree separation.

Numerical calculations show the potential magnitude of latitude effects in quantum interferometry.

Abstract

It has been recently suggested that possible effects of Chern-Simons gravity on a quantum interferometer are dependent on the latitude and direction of the interferometer on Earth in orbital motion around Sun. Continuing work initiated in the earlier publication [Okawara, Yamada and Asada, Phys. Rev. Lett. 109, 231101 (2012)], we perform numerical calculations of time variation in the induced phase shifts for nonequatorial cases. We show that the maximum phase shift at any latitude might occur at 6, 0 (and 12), and 18 hours (in local time) of each day, when the normal vector to the interferometer is vertical, eastbound and northbound, respectively. If two identical interferometers were located at different latitudes, the difference between two phase shifts that are measured at the same local time would be $O(\sin \delta\varphi)$ for a small latitude difference $\delta\varphi$. It might thus become maximally $\sim 20$ percents for $\delta\varphi \sim 10$ degrees, for instance.