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Dynamical simulation of the injection of vortices into a Majorana edge mode by Flór, I. M.; Donís-Vela, A.; Beenakker, C. W. J.; Lemut, G. is a scholarly article available to read on EtoBox.

What is Dynamical simulation of the injection of vortices into a Majorana edge mode about?

The chiral edge modes of a topological superconductor can transport fermionic quasiparticles, with Abelian exchange statistics, but they can also transport non-Abelian anyons: Edge-vortices bound to a $\pi$-phase domain wall that propagates along the boundary. A pair of such edge-vortices is injected by the application of an $h/2e$ flux bias over a Josephson junction. Existing descriptions of the injection process rely on the instantaneous scattering approximation of the adiabatic regime [Beenakker et al. Phys.Rev.Lett. 122, (2019)], where the internal dynamics of the Josephson junction is ignored. Here we go beyond that approximation in a time-dependent many-body simulation of the injection process, followed by a braiding of mobile edge-vortices with a pair of immobile Abrikosov vortices in the bulk of the superconductor. Our simulation sheds light on the properties of the Josephson junction needed for a successful implementation of a flying topological qubit.

Author

Flór, I. M.; Donís-Vela, A.; Beenakker, C. W. J.; Lemut, G.

Published

2023

Language

EN