Mechanical driving mediated slow light in a quadratically coupled optomechanical system

Abstract

We theoretically study the controllable optical response in an optomechanical system with membrane-in-the-middle geometry, where the cavity mode is coupled to the square of the position of the membrane. When the optical cavity is driven by a strong control field and the movable membrane is excited by a weak coherent mechanical driving field, the optical response of the system can be detected by applying a weak probe field to the optical cavity. Due to the additional mechanical driving field, more complex interference exists in this optomechanical system. Under the two-phonon resonance condition, the probe transmission can be larger than unity or suppressed to be zero because of the interference effect, which is dependent on the phase difference of the applied fields. We show that the transmission coefficient and group delay of the probe field can be controlled flexibly by the power of the control field, the amplitude and phase of the mechanical driving field, and the environment temperature. Our results provide a flexible route to control light propagation based on the quadratically coupled optomechanical system.

Optomechanically induced transparency, amplification, and Fano resonance in a multimode optomechanical system with quadratic coupling

“…With further increasing the amplitude ratio r 1 , the transmission coefficient |t p | 2 starts to increase again and can be larger than 1. This phenomenon can be well explained in terms of the complicated interference effect induced by the mechanical driving field [75]. In addition, the phase-dependent effect can be seen from the curves for 1 = 0 and 1 = 0.5π , where the transmission coefficient |t p | 2 increases monotonically with the enhancement of the amplitude ratio r 1 .…”

“…Therefore, the weak probe field can be amplified due to the additional mechanical driving field, which can be explained by the interference effect as follows. In the simultaneous presence of a strong control field, a weak probe field, and a weak coherent mechanical driving field, the energy level of the system can form a closed-loop transition structure, giving rise to the phase-dependent optical response properties [69][70][71][72][73][74][75]. At 1 = 0, constructive interference between t 1 and the first term in t 2 results in the amplification of the probe field [75].…”

“…In addition, more complex interference effect occurs in optomechanical systems if the mechanical oscillator can be excited directly, which results in more interesting response property [69][70][71][72][73][74][75][76]. Zhai et al proposed that mechanical driving field can serve as a switch of photon blockade and photon-induced tunneling [77].…”

Transparency, Stokes, and Anti‐Stokes Processes in a Multimode Quadratic Coupling System with Parametric Amplifier

“…However, several interesting studies pay close attention to the quadratic optomechanical coupling. [ 22–30 ] For example, Thompson et al. [ 22 ] explained location of the mechanical membrane had a significant effect on the cavity frequency.…”

Flexible Control of Two-Channel Transmission and Group Delay in an Optomechanical System with Double Quantum Dots Driven by External Field

“…Mechanical driving in an optomechanical system would result in mechanical phase-dependent OMIT, where the transmission properties of the probe field are sensitive to the phase of the mechanical mode. The transmission of the probe light field can be controlled by this new degree of freedom [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ].…”