ナノ細線中におけるマヨラナ粒子とそのデバイス応用

我们就我们的研究的两个主题发表了两篇论文。其中一篇是关于机械谐振器对Majorana量子比特的相干操纵。这篇论文发表在PRB上。在这项工作中，我们提出了一个由马约拉纳量子比特和机械谐振器组成的混合系统，由靠近s波SC的半导体纳米线实现。在这个提议中，三个铁磁栅极被放置在纳米线的顶部和沿着;两个外部栅极是静态的，内部栅极作为机械谐振器自由谐振（图1）。这些铁磁门诱导局部塞曼分裂，并产生四个马约拉纳束缚态，构成一个马约拉纳量子比特的纳米线。由振荡门的运动引起的马约拉纳束缚态的动态杂交导致马约拉纳量子比特与机械谐振器之间的相干耦合。该混合系统可以被调节为处于谐振状态，例如，在铁磁栅极上施加栅极电压的辅助下，控制纳米线中的Rashba SOC。我们的研究表明，在共振条件下，量子比特和共振器之间可以实现强耦合。因此，量子信息可以有效地从马约拉纳量子比特传输到振荡器，然后再传输回量子比特。这种量子信息传递可以通过调制振荡器的运动来表现出来，这反过来可能意味着马约拉纳量子比特的存在。

We published two papers on the two topics of our study.One of them was about the Coherent manipulation of a Majorana qubit by a mechanical resonator.This is a paper published on PRB. In this work, we proposed a hybrid system composed of a Majorana qubit and a mechanical resonator, implemented by a semiconductor nanowire in proximity to an s-wave SC. In this proposal, three ferromagnetic gates are placed on top of and along the nanowire; the two outer gates are static and the inner one is free to oscillate harmonically as a mechanical resonator (Fig. 1). These ferromagnetic gates induce a local Zeeman splitting and give rise to four Majorana bound states, constituting a Majorana qubit in the nanowire. The dynamical hybridization of the Majorana bound states, arising from the motion of the oscillating gate, results in a coherent coupling between the Majorana qubit and the mechanical resonator. This hybrid system can be adjusted to be in resonance, e.g., with the assistance of a gate voltage on the ferromagnetic gates, which controls the Rashba SOC locally in the nanowire.Our study revealed that under resonance, a strong coupling between the qubit and the resonator can be achieved. Consequently, quantum information can be effectively transferred from the Majorana qubit to the oscillator and then back to the qubit. This quantum information transfer can manifest itself in modulating the motion of the oscillator, which may conversely signify the presence of the Majorana qubit.