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Majorana-induced DC Shapiro steps in topological Josephson junctions

机译：Majorana-诱导的DC Shapiro步骤在拓扑Josephson结合中

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摘要

The demonstration of the non-Abelian properties of Majorana bound states (MBSs) is a crucial step toward topological quantum computing. We theoretically investigate how the fusion of MBSs manifests itself in the current-voltage characteristics of a topological Josephson junction. The junction is assumed to be built on U-shaped quantum spin Hall edges and is supposed to host a Majorana qubit formed by four MBSs. Inter-and intraedge couplings among adjacent MBSs provide two orthogonal components of the rotation axes 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 in the formation of ordinary Shapiro steps is replaced by the intrinsic Rabi oscillations of the Majorana qubit. We coin this phenomenon DC Shapiro steps.
机译：Majorana绑定状态（MBSS）的非雅中属性的证明是拓扑量子计算的重要步骤。理论上，研究MBSS的融合如何在拓扑约瑟夫森交界处的电流 - 电压特性中表现出来。接合点被假设在U形量子旋转霍尔边缘上构建，并且应该托管由四个MBS形成的Majorana Qubit。相邻MBS之间的间间和intraed联轴器提供MajoranaQubit的旋转轴的两个正交组件。我们表明超导体相位差和Majorana Qubit的动态的相互作用管理了约瑟夫森效应。令人醒目的是，我们识别整个接合点两端电压的顺序跳跃，而没有外部交流驱动的DC电流偏置。它在普通的Shapiro步骤中形成的作用被MajoranaQubit的内在Rabi振荡所取代。我们投入了这种现象DC Shapiro步骤。

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  • 来源
    《Physical review》 |2020年第14期|140501.1-140501.6|共6页
  • 作者

    Sang-Jun Choi; Alessio Calzona; Bjoern Trauzettel;

  • 作者单位

    Institute for Theoretical Physics and Astrophysics University of Wuerzburg D-97074 Wuerzburg Germany;

    Institute for Theoretical Physics and Astrophysics University of Wuerzburg D-97074 Wuerzburg Germany;

    Institute for Theoretical Physics and Astrophysics University of Wuerzburg D-97074 Wuerzburg Germany Wuerzburg-Dresden Cluster of Excellence ct.qmat Germany;

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