Analog multicolor electromagnetically induced transparency in multimode quadratic coupling quantum optomechanics

Abstract

We theoretically investigate the response of the output field of multiple mechanical modes coupled to a single quantized cavity field via quadratic optomechanical interactions. We focus specifically on two identical membranes in the optical cavity mode. Our study shows that double electromagnetically induced transparency (EIT) can be observed from the output field by adjusting the strength of the quadratic coupling coefficient, which can be achieved by controlling the position of the membranes in the cavity. Moreover, for N membranes having the same frequencies, the results indicate that there are at most multicolor (N) EIT in the transmitted probe field.