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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 9: Theoretical Aspects of Condensed Matter II
MP 9.6: Talk
Wednesday, March 20, 2024, 11:30–11:50, HL 102
Dynamical simulation of the injection of vortices into a Majorana edge mode — Ian Matthias Flor2, •Alvaro Donis Vela1, Carlo Beenakker1, and Gal Lemut3 — 1Leiden University — 2KTH Royal Institute of Technology — 3Freie Universitat Berlin
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 π-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.
Keywords: Majorana; Edge vortex; Braiding; Topological superconductor; Simulation