Nanogravity gradiometer based on a sharp optical nonlinearity in a levitated particle optomechanical system

摘要

In the present paper, we provide a scheme to probe the gradient of gravity at the nanoscale in a levitated nanomechanical resonator coupled to a cavity via two-field optical control. The enhanced sharp peak on the probe spectrum will suffer a distinct shift with the nonuniform force being taken into consideration. The nonlinear optics with very narrow bandwidth (10~(-8) Hz) resulting from the extremely high-quality factor will lead to a superresolution of 10~(-20) N/m for the measurement of gravity gradient. The improved sensitivity may offer new opportunities for detecting Yukawa moduli forces and Kaluza-Klein gravitons in extra dimensions.