Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

TL;DR

This paper investigates quantum interference effects in the spacetime of slowly rotating braneworld objects, revealing how brane parameters influence gravitational phase shifts and setting experimental bounds on tidal charge.

Contribution

It provides a unified derivation of gravitational quantum interference effects in braneworld scenarios, highlighting the impact of brane parameters on Sagnac and neutron interferometry phenomena.

Findings

Brane parameter significantly affects the Sagnac effect in rotating spacetimes.

An additional phase shift term emerges in neutron interferometry due to the tidal charge.

Upper limit for tidal charge is constrained to Q* ≲ 10^7 cm^2.

Abstract

The phase shift a neutron interferometer caused by the gravitational field and the rotation of the earth is derived in a unified way from the standpoint of general relativity. General relativistic quantum interference effects in the slowly rotating braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are considered. It was found that in the case of the Sagnac effect the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non rotating observer must be larger than one in the Kerr space-time. In the case of neutron interferometry it is found that due to the presence of the parameter $Q^{*}$ an additional term in the phase shift of interfering particle emerges from the results of the recent experiments we have obtained upper limit for the tidal charge as $Q^{*}\lesssim 10^{7} \rm{cm}^{2}$. Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the braneworld.