在近幾年的研究中，已經證實了超導量子電路可以藉由壓電材料的聲電轉換器 (IDT)耦合到表面聲波(SAW)，藉由表面聲波取代原本以光波來傳遞能量 的方式儼然成為一種新興的研究領域，而我們在此分別說明了一般藉由光子耦 合到一個二能階的超導量子位元和藉由聲子耦合到一個超導量子位元的散射曲 線差異，由於表面聲波的傳遞速度和光速相比慢了五個數量級，而使超導電路 猶如一個巨型原子一般，造成其相位的影響已變得不再可以忽略，亦使散射譜 線展示了有趣的特性，而我們在此展現了藉由結合這兩種傳遞方式以達到利用 超導量子電路傳播能量的一種新的可能性，我們研究“使微波波導耦合到一個 超導量子位元，再藉由此超導量子位元耦合至表面聲波”的散射譜線，發現在 表面聲波端的穿透率會有類似法諾共振的曲線特性，也進一步去探討其產生的原因。

In addition to the system's continuous and discontinuous states, the Fano effect also requires specific interference conditions. For example, artificial atoms coupled to two identical microwave waveguides have continuous and discontinuous states, but they cannot effectively form the Faro effect. If artificial atoms are used to couple to the microwave waveguide and the IDT composite device, it can produce interference conditions that satisfy the Fano conditions. We have analyzed the steady-state transmission and reflection scattering spectra of the surface acoustic wave by using the long time limit method and the Fano curve are obtained by Taylor expansion. Finally, we obtain periodic Fano curves, which make the system demonstrate different phenomena compared with general quantum optical properties.

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