Rotating Majorana Zero Modes in a disk geometry
Abstract
We study the manipulation of Majorana zero modes in a thin disk made from a -wave superconductor in order to understand their use as a building block for topological quantum computers. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied, and calculate their dynamical evolution when rotating the magnetic field, with special emphasis on non-adiabatic effects. We characterize the phase transition between high-frequency and near-adiabatic evolution using Floquet analysis. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states, which we have quantified numerically and analytically. These results show that controlling the rotation frequency can be a simple method to avoid the non-adiabatic errors originated from this coupling and thus increase the robustness of topological quantum computation.
Cite
@article{arxiv.2109.03549,
title = {Rotating Majorana Zero Modes in a disk geometry},
author = {Liu Yang and Alessandro Principi and Niels R. Walet},
journal= {arXiv preprint arXiv:2109.03549},
year = {2022}
}