We demonstrate theoretically the Fano resonance and the conversion from fast to slow light in a hybrid quantum dot (QD)–semiconductor/superconductor (S/S) ring device, where the QD is coupled to a pair of Majorana fermions (MFs) appearing in the hybrid QD–S/S ring device. The absorption spectra of the weak probe field can exhibit a series of asymmetric Fano line shapes, and their related optical propagation properties such as fast- and slow-light effects are investigated based on the hybrid system for suitable parametric regimes. The positions of the Fano resonances can be determined by the parameters, such as different detuning regimes and QD–MFs coupling strengths. Further, the transparency windows (i.e., the absorption dip approaches zero) in the probe absorption spectra are accompanied by the rapid steep dispersion of the Fano resonance profile, which promises the slow- or fast-light effect, and even tunable fast-to-slow light propagation (or vice versa) can be achieved by controlling different parameter regimes. Therefore, Fano resonance may indicate another means to investigate MFs and the investigation may open up promising applications in quantum information processing based on MFs in solid-state devices.

中文翻译：

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Majorana费米子在混合半导体/超导体环形器件中诱导Fano共振和快慢光

我们在理论上证明了混合量子点（QD）-半导体/超导体（S / S）环形器件中的Fano共振和从快光到慢光的转换，其中QD耦合到一对出现在发光二极管中的马约拉纳费米子（MF）。混合QD–S / S环形设备。弱探测场的吸收光谱可以表现出一系列不对称的Fano线形，并且基于适合的参数体系的混合系统，研究了它们的相关光传播特性，例如快光和慢光效应。Fano共振的位置可以通过参数确定，例如不同的失谐机制和QD-MF的耦合强度。此外，透明度窗口（即 探针吸收光谱中的吸收倾角接近零）伴随着Fano共振曲线的快速陡峭弥散，这保证了慢或快光效应，甚至可调节的快慢光传播（反之亦然）可以通过控制不同的参数范围来实现。因此，Fano共振可能表明研究MF的另一种方法，并且该研究可能会在固态设备中基于MF的量子信息处理中开拓有希望的应用。