Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
复制标题
拓扑约瑟夫森结中马约拉纳模式非线性动力学的迟滞
DOI：
10.1103/physrevb.98.134515
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发表时间：
2018-10-29
影响因子：
3.7
通讯作者：
Niu, Qian
中科院分区：
文献类型：
--
作者：
Feng, Jia-Jin;Huang, Zhao;Niu, Qian
我们发现，拓扑约瑟夫森结提供了一个自然的平台，约瑟夫森效应和朗道-齐纳效应之间的相互作用，通过一个两能级系统形成的耦合马约拉纳模式。我们通过修改标准教科书中的RSJ模型，考虑到结处的Majorana模的二能级系统，建立了一个量子相干分流结（RSJ）模型。我们证明了二能级系统的动力学是由一个非线性Schr\“odinger方程控制的，并通过映射到一个经典动力学问题来解析求解该方程。这种非线性动力学导致了I-V特性的滞后，这可以对最近的实验给出定量的解释。我们还预言了在拓扑超导量子干涉器件中同时存在两种周期为h/e和h/2 e的干涉图样。
We reveal that topological Josephson junctions provide a natural platform for the interplay between the Josephson effect and the Landau-Zener effect through a two-level system formed by coupled Majorana modes. We build a quantum resistively shunted junction (RSJ) model by modifying the standard textbook RSJ model to take account of the two-level system from the Majorana modes at the junction. We show that the dynamics of the two-level system is governed by a nonlinear Schr\"odinger equation and solve the equations analytically via a mapping to a classical dynamical problem. This nonlinear dynamics leads to hysteresis in the I-V characteristics, which can give a quantitative explanation to recent experiments. We also predict the coexistence of two interference patterns with periods $h/e$ and $h/2e$ in topological superconducting quantum interference devices.