We investigate the change in width of transparency windows and the amplification of the probe output spectra in an optomechanical system with multiple mechanical resonators. Each mechanical resonator is driven by a mechanical driving field, and the phases of these mechanical driving fields are different. Via exhibiting the probe output spectra of the system, we find that the number of transparency windows is explicitly decided by the number of mechanical resonators with different frequencies. Meanwhile, we discuss the effect of cavity decay rate on the width of the transparency windows. Moreover, we also investigate the absorption and amplification phenomena with the different phase differences among the pump field, probe field, and mechanical driving fields. By adjusting the phase differences, the fast–slow light transitions can occur. These interesting phenomena can also be exploited to investigate the optical switch and frequency comb generation.

中文翻译：

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在具有多个机械驱动阶段的光机械系统中，光机械引起的透明性，放大和快慢的光跃迁

我们研究了在具有多个机械谐振器的光机械系统中，透明窗口宽度的变化和探头输出光谱的放大。每个机械谐振器由机械驱动场驱动，并且这些机械驱动场的相位不同。通过展示系统的探头输出频谱，我们发现透明窗的数量明确地由具有不同频率的机械谐振器的数量决定。同时，我们讨论了空腔衰减率对透明窗口宽度的影响。此外，我们还研究了在泵浦场，探测场和机械驱动场之间具有不同相位差的吸收和放大现象。通过调节相位差，可以发生快速-缓慢的光跃迁。