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arXiv · 2307.07447

Dynamical simulation of the injection of vortices into a Majorana edge mode

I. M. Flór·A. Donís-Vela·C. W. J. Beenakker·G. Lemut
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Abstract

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.

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I. M. Flór, A. Donís-Vela, C. W. J. Beenakker, G. Lemut. 2023-07-14. Dynamical simulation of the injection of vortices into a Majorana edge mode. https://doi.org/10.1103/physrevb.108.235309

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