Steady-state quantum steering in a largely detuned optomechanical cavity

We investigate quantum steering and quantum entanglement in a hybrid cavity optomechanical system. The system model consists of an optical cavity, a microwave cavity and a mechanical oscillator, with the optical cavity and microwave cavity coupled to a mechanical resonator, respectively. The influence of system parameters such as the detuning, coupling strength and decay on quantum entanglement and quantum steering is discussed. It is found that the direction of the one-way steering can be altered by choosing appropriated decay rate of cavity fields. What is more, the optimal condition for quantum entanglement and quantum steering can be obtained by choosing appropriate coupling strength. Particularly, the system with large detuning is more robust to thermal noise, which makes it possible to realize quantum entanglement and quantum steering at higher temperature.