Controllable four-wave mixing based on mechanical vibration in two-mode optomechanical systems

Abstract

We theoretically investigate the four-wave mixing (FWM) process in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. The left cavity is driven by a strong pump laser beam and a weak probe laser beam simultaneously, but the right cavity is only driven by a strong pump laser beam. It is shown that when both cavities are driven at their respective red sidebands, optomechanically induced transparency (OMIT) appears and FWM is resonantly enhanced with reduced linear absorption. However, when the left cavity is driven at its red sideband but the right cavity is driven at its blue sideband, robust photon entanglement can be realized (Tian L., Phys. Rev. Lett., 110 (2013) 233602). In this case, the FWM intensity can be increased by three orders of magnitude at lower pump power.