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arXiv · 2304.04270

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

Luting Xu·Jing Bai·Wei Feng·Xin-Qi Li
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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.

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Luting Xu, Jing Bai, Wei Feng, Xin-Qi Li. 2023-04-09. Dynamics simulation of braiding two Majorana-zero-modes via a quantum dot. https://arxiv.org/abs/2304.04270

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