论文标题
通过Majorana零模式运输的主方程方法
Master equation approach for transport through Majorana zero modes
论文作者
论文摘要
基于精确的公式，我们提出了通过Majorana零模式（MZM）运输的主方程方法。在主方程处理中，与MZMS相关的常规费用的职业动力学与BDG S-矩阵散射过程的情况截然不同，在该过程中，采用“正”和“负”能量状态，而主方程处理根本不涉及它们。通过仔细分析速率的结构和由主方程控制的速率过程，我们揭示了两种方法之间的内在联系。这种连接使我们能够更好地理解Majorana耦合消失时令人困惑的传送问题。我们说明了瞬态率，职业动态和电流的行为。通过偏置电压依赖性，我们还显示了马尔可夫的速率条件，这可以极大地简化实践中的应用程序。作为未来的观点，这项工作中开发的主方程方法可以应用于研究重要的时间依赖性现象，例如通过MZMS的光子辅助隧道和Majorana耦合能的调制效应。
Based on an exact formulation, we present a master equation approach to transport through Majorana zero modes (MZMs). Within the master equation treatment, the occupation dynamics of the regular fermion associated with the MZMs holds a quite different picture from the BdG S-matrix scattering process, in which the "positive" and "negative" energy states are employed, while the master equation treatment does not involve them at all. Via careful analysis for the structure of the rates and the rate processes governed by the master equation, we reveal the intrinsic connection between both approaches. This connection enables us to better understand the confusing issue of teleportation when the Majorana coupling vanishes. We illustrate the behaviors of transient rates, occupation dynamics and currents. Through the bias voltage dependence, we also show the Markovian condition for the rates, which can extremely simplify the applications in practice. As future perspective, the master equation approach developed in this work can be applied to study important time-dependent phenomena such as photon-assisted tunneling through the MZMs and modulation effect of the Majorana coupling energy.
