Rotating Majorana Zero Modes in a disk geometry
- URL: http://arxiv.org/abs/2109.03549v3
- Date: Mon, 21 Nov 2022 10:05:03 GMT
- Title: Rotating Majorana Zero Modes in a disk geometry
- Authors: Liu Yang, Alessandro Principi, Niels R. Walet
- Abstract summary: We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor.
We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied.
We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
- Score: 75.34254292381189
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the manipulation of Majorana zero modes in a thin disk made from a
$p$-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.
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