Dynamics simulation of braiding two Majorana zero modes via a quantum dot
Dynamics simulation of braiding two Majorana zero modes via a quantum dot
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DOI：
10.1103/physrevb.108.115411
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发表时间：
2023-04
影响因子：
3.7
通讯作者：
Luting Xu;J. Bai;Wei Feng;Xin-Qi Li
中科院分区：
文献类型：
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作者：
Luting Xu;J. Bai;Wei Feng;Xin-Qi Li
在这项工作中，我们进行真实的时间模拟编织一对马约拉纳零模式（MZMs）通过量子点的纯一维实现的最小设置的动力学。我们揭示了强大的非绝热效应时，点能级接近零，以实现几何相位$\pi/4$，这是所需的MZM之间的充分交换。与根据绝热条件和绝热捷径对系统进行非均匀操纵的策略不同，我们提出并说明了一种更可行的方案来抑制非绝热跃迁，同时允许Majorana模之间的完全交换。
In this work we perform real time simulations for the dynamics of braiding a pair of Majorana zero modes (MZMs) through a quantum dot in a minimal setup of pure 1D realization. We reveal the strong nonadiabatic effect when the dot energy level approaches to zero in order to achieve a geometric phase $\pi/4$ which is required for a full exchange between the MZMs. Rather than the strategies of nonuniformly manipulating the system according to adiabatic condition and shortcuts-to-adiabaticity, we propose and illustrate a more feasible scheme to suppress the nonadiabatic transition, meanwhile which allows for a full exchange between the Majorana modes.