Transport probe of nonadiabatic transition caused by Majorana moving

TL;DR

This paper introduces a transport-based method to detect nonadiabatic transitions caused by Majorana modes during braiding, using time-dependent quantum transport simulations in the Kitaev model.

Contribution

It presents a novel transport probe scheme for identifying nonadiabatic Majorana transitions, linking transport measurements with quantum braiding processes.

Findings

Transport current reflects nonadiabatic transitions.

The scheme accurately determines Landau-Zener tunneling ratios.

Simulation results agree with isolated quantum wire calculations.

Abstract

We propose a transport probe scheme to detect the nonadiabatic transition caused by Majornana moving, which is relevant to the braiding operations in topological quantum computation. The scheme is largely based on a time dependent single-electron-wavefunction approach to quantum transport. Applying the Kitaev model, we simulate the time dependent Andreev-reflection current and examine the feasibility of using the current to infer the nonadiabatic transition. We design a scheme to determine the Landau-Zener tunneling ratio in the context of transport, and compare it with the result obtained from the isolated quantum wire. Desirable agreements are demonstrated for the proposed scheme.