Detecting large extra dimensions with optomechanical levitated sensors

Abstract

Abstract Many experiments have been conducted to detect hypothetical large extra dimensions from sub-millimeter to solar system separations. However, direct evidence for such extra dimensions has not been found. Here we present a scheme to test the gravitational law in 4 + 2 dimensions at micron separations by optomechanical methods. We demonstrate the feasibility of the normal mode splitting in the optomechanical system under the gravitational interaction between two levitated resonators. The weak frequency splitting can be optically read by the optical pump-probe scheme. The sensitivity can be improved by suppressing the effect of the Casimir force coupling and the electrostatic interaction. Thus, we can detect the large extra dimensions at low noise levels based on the levitation optomechanics without the isoelectronic technique.