Physical Review B, 108, 115411 (2023)

Dynamics simulation of braiding two Majorana zero modes via a quantum dot

Luting Xu^*, Jing Bai, Wei Feng and Xin-Qi Li^†

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300072, China.

* xuluting@tju.edu.cn

† xinqi.li@tju.edu.cn

Abstract

In this work we perform real-time simulations for the dynamics of braiding a pair of Majorana zero modes(MZMs) through a quantum dot in a minimal setup of pure one-dimensional realization. We reveal the strong nonadiabatic effect when the dot energy level approaches zero in order to achieve a geometric phase π/4 which is required for a full exchange between the MZMs. Rather than the strategies of nonuniformly manipulating the system according to adiabatic conditions and shortcuts to adiabaticity, we propose and illustrate a more feasible scheme to suppress the nonadiabatic transition, which allows for a full exchange between the Majorana modes.