The schematic diagram of the HOEMS. The FP cavity a ^ 1 is tunneling coupled to an opto-mechanical cavity a ^ 2 , where the charged NMO b ^ 1 as a mechanical mirror of the opto-mechanical cavity is capacitively coupled to another charged NMO b ^ 2 by the Coulomb interaction. J is the tunneling coupling strength between the two cavities. The HOEMS is driven by a strong pump field ε c and a weak probe field ε p . The output field at the probe frequency of the HOEMS is ε out .