Nonreciprocal amplification in an optomagnomechanical system

We propose a scheme to achieve nonreciprocal amplification between photon and magnon in an optomagnomechanical system, in which two cavity modes and a magnon mode are coupled to a common mechanical resonator. Due to optomechanical and magnomechanical nonlinear interactions, the beam splitter and nondegenerate parametric interactions between two cavity modes and the magnon mode are derived after eliminating the mechanical resonator. Consequently, the signal of the cavity field or magnon mode can be amplified. Nonreciprocity is achieved by modulating the two-path interference condition through the phase difference. As a result, nonreciprocal amplification between photon and magnon can be achieved.