Probing the non-Abelian fusion of a pair of Majorana zero modes
Probing the non-Abelian fusion of a pair of Majorana zero modes
复制标题
DOI：
10.1103/physrevb.109.085403
复制
发表时间：
2023-09
影响因子：
3.7
通讯作者：
Jing Bai;Qiongyao Wang;Luting Xu;Wei Feng;Xin-Qi Li
中科院分区：
文献类型：
--
作者：
Jing Bai;Qiongyao Wang;Luting Xu;Wei Feng;Xin-Qi Li
在这项工作中，我们进行真实的时间模拟探测非阿贝尔融合的一对马约拉纳零模式（MZMs）。非平凡的融合结果可以是真空，也可以是未成对的费米子，这反映了潜在的非阿贝尔统计。这两种可能的结果会导致附近的探测量子点（QD）中不同的电荷变化，而量子点中的电荷占据通过量子点接触来检测。特别是，我们发现，逐步融合和逐步耦合的MZM的QD（在近绝热开关的限制）提供了一个更简单的检测方案比突然耦合融合后推断两个融合结果的共存，通过测量的占用概率的QD。对于突然耦合方案（聚变后），我们提出并分析了量子点占据率振荡的连续弱测量。从测量电流的功率谱，可以识别特征频率，从而推断融合结果的共存。
In this work, we perform real time simulations for probing the non-Abelian fusion of a pair of Majorana zero modes (MZMs). The nontrivial fusion outcomes can be either a vacuum, or an unpaired fermion, which reflect the underlying non-Abelian statistics. The two possible outcomes can cause different charge variations in the nearby probing quantum dot (QD), while the charge occupation in the dot is detected by a quantum point contact. In particular, we find that gradual fusion and gradual coupling of the MZMs to the QD (in nearly adiabatic switching-on limit) provide a simpler detection scheme than sudden coupling after fusion to infer the coexistence of two fusion outcomes, by measuring the occupation probability of the QD. For the scheme of sudden coupling (after fusion), we propose and analyze continuous weak measurement for the quantum oscillations of the QD occupancy. From the power spectrum of the measurement currents, one can identify the characteristic frequencies and infer thus the coexistence of the fusion outcomes.