Enhanced photon blockade in quadratically coupled optomechanical system

We study the photon blockade effect in a mechanical engineered quadratic optomechanical system. It is shown that the energy level structure of the system and the statistical properties of the photons can both be influenced through the modulation of the motion of the mechanical components. Also, the second-order correlation function is analyzed for which the photon blockade can be enhanced under the strong pumping condition. Furthermore, the oscillation is present between the photon blockade and two-photon excitation when tuning the frequency of the probe photon. The study provides an achievable method to enhance the manipulation of photons, which will further support the various applications of photons in quantum information science.