ナノ細線中におけるマヨラナ粒子とそのデバイス応用

我们就这两个研究课题发表了两篇论文，其中一篇是关于机械谐振器对马约拉纳量子比特的相干操纵。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，该系统由靠近S波SC的半导体纳米线实现。在这一建议中，三个铁磁门放置在纳米线的顶部和沿线；两个外部门是静态的，内部一个可以像机械谐振器一样自由振荡(图1)。这些铁磁门诱导局域塞曼分裂，并产生四个Majorana束缚态，构成纳米线中的Majorana量子比特。由于振荡门的运动，Majorana束缚态的动态杂化导致了Majorana量子比特和机械谐振器之间的相干耦合。这种混合系统可以被调节为共振，例如，在铁磁门上的栅极电压的辅助下，在纳米管中局部控制Rashba SOC。我们的研究表明，在共振下，量子比特和谐振器之间可以实现强耦合。因此，量子信息可以有效地从Majorana量子比特传输到振子，然后再返回到量子比特。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，这可能反过来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.