Highly Sensitive Optical Detector for Precision Measurement of Coulomb Coupling Strength Based on a Double-Oscillator Optomechanical System

An optomechanical system combining a Coulomb interaction degree of freedom provides a unique platform for precision measurement of electrical charges via the optomechanically induced transparency. A new property of a second-order sideband in a double-oscillator optomechanical system is investigated beyond the conventional linearized description of optomechanical interaction. The results show that the single-second-order sideband will split into the double-second-order sideband under a weak driving field, and the separation of the split second-order sideband shows a strong dependence on the Coulomb coupling strength. Based on the current experimental conditions, such a Coulomb-interaction-induced split of the second-order sideband may enable an all-optical sensor for precision measurement of the Coulomb coupling strength with lower power.