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

• URL: http://arxiv.org/abs/2304.04270v1
• Date: Sun, 9 Apr 2023 16:28:33 GMT
• Title: Dynamics simulation of braiding two Majorana-zero-modes via a quantum dot
• Authors: Luting Xu, Jing Bai, Wei Feng, and Xin-Qi Li
• Abstract summary: We show the strong nonadiabatic effect when the dot energy level approaches to zero. We propose and illustrate a more feasible scheme to suppress the nonadiabatic transition.
• Score: 6.1508879390647975
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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