论文标题
Majorana引起的DC Shapiro在拓扑约瑟夫森连接中
Majorana-induced DC Shapiro steps in topological Josephson junctions
论文作者
论文摘要
Majorana结合状态（MBS）的非亚伯属性的演示是迈向拓扑量子计算的关键步骤。从理论上讲，我们在拓扑约瑟夫森交界处的当前电压特征中如何表现出Majorana融合规则。该交界处建立在U形量子旋转大厅边缘，并容纳由四个MB形成的Majorana Qubit。由于Majorana融合规则，相邻MBS之间的边缘和内边缘耦合在Majorana量子位的旋转轴上提供了两个正交组件。我们表明，超导相差的动力学与Majorana Qubit的相互作用控制了约瑟夫森效应。引人注目的是，我们确定了跨连接电压的顺序跳跃，而直流电流偏置的增加而没有外部AC驱动。它的作用被Majorana Qubit的固有Rabi振荡所取代。 DC Shapiro步骤的这种现象是MBS非平凡融合规则的体现。
The demonstration of the non-Abelian properties of Majorana bound states (MBS) is a crucial step toward topological quantum computing. We theoretically investigate how Majorana fusion rules manifest themselves in the current-voltage characteristics of a topological Josephson junction. The junction is built on U-shaped quantum spin Hall edges and hosts a Majorana qubit formed by four MBS. Owing to Majorana fusion rules, inter- and intra-edge couplings among adjacent MBS provide two orthogonal components in the rotation axis of the Majorana qubit. We show that the interplay of the dynamics of the superconductor phase difference and the Majorana qubit governs the Josephson effect. Strikingly, we identify sequential jumps of the voltage across the junction with increasing DC current bias without external AC driving. Its role is replaced by the intrinsic Rabi oscillations of the Majorana qubit. This phenomenon, DC Shapiro steps, is a manifestation of the non-trivial fusion rules of MBS.
