  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.
