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

Authors :
Xu, Luting
Bai, Jing
Feng, Wei
Li, Xin-Qi
Publication Year :
2023

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 1D realization. We reveal the strong nonadiabatic effect when the dot energy level approaches to zero in order to achieve a geometric phase $\pi/4$ 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.<br />Comment: 6 pages, 5 figures

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....5b901c60f01242dddb98c5429ae3a9fe