论文标题
通过Majoragan Bound State Enginering Yang-Lee Anyons
Engineering Yang-Lee anyons via Majorana bound states
论文作者
论文摘要
我们提出了由拓扑超导体中的Majorana界面构建的Yang-Lee Anyon系统的平台。 Yang-Lee Anyons，由中央电荷$ C = -22/5 $描述，是斐波那契Anyons的非单身对应物，遵守了相同的融合规则，但表现出了非独立的非阿比尔编织统计数据。我们考虑了拓扑超导体连接系统，并结合耗散电子浴，它实现了一个非热相互作用的Majorana系统。从数值上估计中央电荷，我们检查了非富甲imajoraga系统可以模拟Yang-Lee Edge奇异性的Ising自旋模型的条件，并确认通过以可行的方式控制模型参数，可以实现Yang-Lee Edge Critistity。在这种情况下，我们介绍了我们提议的设置中Yang-Lee Anyons的融合，测量和编织的计划。
We propose the platform of a Yang-Lee anyon system which is constructed from Majorana bound states in topological superconductors. Yang-Lee anyons, described by the non-unitary conformal field theory with the central charge $c=-22/5$, are non-unitary counterparts of Fibonacci anyons, obeying the same fusion rule, but exhibiting non-unitary non-Abelian braiding statistics. We consider a topological superconductor junction system coupled with dissipative electron baths, which realizes a non-Hermitian interacting Majorana system. Numerically estimating the central charge, we examine the condition that the non-Hermitian Majorana system can simulate the Ising spin model of the Yang-Lee edge singularity, and confirm that, by controlling model parameters in a feasible way, the Yang-Lee edge criticality is realized. On the basis of this scenario, we present the scheme for the fusion, measurement and braiding of Yang-Lee anyons in our proposed setup.
