We theoretically study the four-wave mixing (FWM) response in a quantum dot-cavity coupling system, where a two-level quantum dot (QD) is placed in an optical cavity while the cavity mode is coupled to the nanomechanical resonator via radiation pressure. The influences of the QD-cavity coupling strength, the Rabi coupling strength of the QD, and the power of the pump light on the FWM intensity are mainly considered. The numerical results show that the FWM intensity in this hybrid system can be significantly enhanced by increasing the QD-cavity coupling strength. In addition, the FWM intensity can be effectively modulated by the Rabi coupling strength and the pump power. Furthermore, the effects of the cavity decay rate and the cavity-pump detuning on the FWM signal are also explored. The obtained results may have potential applications in the fields of quantum optics and quantum information science.

我们从理论上研究了量子点-腔耦合系统中的四波混频 (FWM) 响应，其中两能级量子点 (QD) 放置在光学腔中，而腔模式通过辐射压力耦合到纳米机械谐振器. 主要考虑QD-腔耦合强度、QD的Rabi耦合强度和泵浦光功率对FWM强度的影响。数值结果表明，该混合系统中的 FWM 强度可以通过增加 QD 腔耦合强度得到显着增强。此外，拉比耦合强度和泵浦功率可以有效地调制 FWM 强度。此外，还探讨了腔衰减率和腔泵失谐对 FWM 信号的影响。