Probing Non-Newtonian Gravity by Taking Advantage of Criticality Based on a Hybrid Electro-Optomechanical System

We develope a new method of constraining non-Newtonian gravity at the nanometer range. In this method, we consider a hybrid electro-optomechanical system. By applying a strong driving field, we may obtain normal mode splitting of the electromechanical subsystem. Provided that the Casimir background is suppressed and our system is operated at critical points, by investigating the relationship between this splitting and the resonance frequency of the mechanical oscillator, we set a constraint on the non-Newtonian gravity. This constraint significantly improves the previous bounds at the nanometer range, indicating that the method is considerable.