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 1D realization. We reveal the strong nonadiabatic effect when the dot energy level approaches to 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 condition and shortcuts-to-adiabaticity, we propose and illustrate a more feasible scheme to suppress the nonadiabatic transition, meanwhile which allows for a full exchange between the Majorana modes.
@article{arxiv.2304.04270,
title = {Dynamics simulation of braiding two Majorana-zero-modes via a quantum dot},
author = {Luting Xu and Jing Bai and Wei Feng and Xin-Qi Li},
journal= {arXiv preprint arXiv:2304.04270},
year = {2023}
}