2018/03/31 by Bela Bauer, Torsten Karzig, Ryan V. Mishmash +2 · 2 citations
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.21468/scipostphys.5.1.004
published as SciPost Phys. 5, 004 (2018) · 12 pages, 8 figures. v2: minor corrections, updated references
arxiv created 2018/06/02 · arxiv updated 2018/07/18
We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic corrections associated with the moving Majorana modes are quantitatively captured by a simple Landau-Zener description. We further simulate a Rabi-oscillation protocol in a specific qubit design with four Majorana zero modes in a single wire and quantify constraints on the timescales for performing qubit operations in this setup. Our simulations utilize a Majorana representation of the system, which greatly simplifies simulations of superconductors at the mean-field level.