论文标题
$ q $ pogermed的光学机械系统的快速和慢光中的透明度和增强性
Transparency and enhancement in fast and slow light in $q$-deformed optomechanical system
论文作者
论文摘要
可以通过在光力学系统中引入$ Q $变形来增强非古典现象。这激发了对$ q $构造线性耦合的光力系统的光学响应的调查。该系统由两个变形的腔体组成，它们与机械镜的运动线性耦合，并且通过透射强度参数将腔相互耦合。这项研究表明，与未变形的病例相比，变形系统在透明窗口的位置表现出更快的相变，从而导致更强和增强的快速和缓慢的光现象。此外，在该区域$ 0 <q <0.5 $，光力学系统会产生增益。此外，对于腔体的固定变形，通过调整隧道强度和光力耦合，可以观察到以毫秒的顺序观察探针场的延迟和进步，甚至高于毫秒以上以微调耦合参数。最后，数学模型和物理模型之间的桥梁是通过假设变形为统一的原始根来构建的，这表明一类Anyon模型。这些结果表明，$ q $ - 规定为操纵和显着增强光学现象的新方法不仅在任意变形的光学机械系统中，而且在任何人模型中。
Nonclassical phenomena can be enhanced by introducing $q$-deformation in optomechanical systems. This motivates investigation of the optical response in a $q$-deformed linearly coupled optomechanical system. The system consists of two deformed cavities that are linearly coupled to the motion of mechanical mirrors, and the cavities are coupled to each other by transmission strength parameter. This study shows that compared to non-deformed cases, the deformed system exhibits more rapid phase transition at the positions of transparency windows, causing stronger and enhanced fast and slow light phenomena. Moreover, in the region $0<q<0.5$, the optomechanical system results in gain. Additionally, for a fixed deformation of cavities, by tuning the tunneling strength and optomechanical coupling, one can observe a delay and advancement in probe field in the order of milliseconds and even above milliseconds for fine-tuning of the coupling parameters. Finally, the bridge between mathematical and physical models is built by assuming the deformation to be a primitive root of unity, which indicates a class of anyon models. These results demonstrate that $q$-deformation provides a novel method for manipulating and significantly enhancing optical phenomena not only in arbitrarily deformed optomechanical systems but also in anyon models.
