Phase-dependent double optomechanically induced transparency in a hybrid optomechanical cavity system with coherently mechanical driving

Wu Shi-Chao^{1, 3}, Qin Li-Guo^{1, 2, †}, Lu Jian¹, Wang Zhong-Yang^{1, ‡}

(a) The real part Re [ ε T ] and (b) imaginary part Im [ ε T ] as a function of ( δ − ω m ) / ω m for the cavity system under the condition of no external mechanical driving field applied, with parameters P pr = 0.008 mW , σ=1, g om / 2 π = 2.7 Hz , κ a / 2 π = 215 kHz , ω a / 2 π = 194 THz, ω b / 2 π = ω c / 2 π = ω m / 2 π = 947 kHz , γ b / 2 π = γ c / 2 π = 140 Hz , m b = m c = 145 ng, and Δ a ′ = ω b = ω c .