We investigate a cavity optomechanical system filled with a two-level atomic medium. When the system is driven by a coupling laser, the probe laser in output will show an analogue phenomenon of electromagnetically induced transparency. The larger the number of atoms, the wider the window of transparency. Our results again prove that the atomic medium enhances the radiation pressure.

We study the photon statistics properties of few-photon transport in an optomechanical system where an optomechanical cavity couples to two empty cavities. By analytically deriving the oneand two-photon currents in terms of a zero-time-delayed two-order correlation function, we show that a photon blockade can be achieved in both the single-photon strong-coupling regime and the single-photon weak-coupling regime due to the nonlinear interacting and multipath interference. Furthermore, our systems can be applied as a quantum optical diode, a single-photon source, and a quantum optical capacitor. It is shown that this the photon transport controlling devices based on photon antibunching does not require the stringent single-photon strong-coupling condition. Our results provide a promising platform for the coherent manipulation of optomechanics, which has potential applications for quantum information processing and quantum circuit realization.

We propose a scheme in which the cooling of a mechanical resonator is achieved by exposing the optomechanical system to a non-Markovian environment. Because of the backflow from the non-Markovian environment, the phonon number can go beyond the conventional cooling limit in a Markovian environment. Utilizing the spectrum density obtained in the recent experiment [Nature Communications 6, 7606 (2015)], we show that the cooling process is highly effective in a nonMarkovian environment. The analysis of the cooling mechanism in a non-Markovian environment reveals that the non-Markovian memory effect is instrumental to the cooling process.