Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer

We present a numerical study of a multichannel electronicMach-Zehnder interferometer, based onmagnetically
driven noninteracting edge states. The electron path is defined by a full-scale potential landscape on the twodimensional
electron gas at filling factor 2, assuming initially only the first Landau level as filled.We tailor the two
beamsplitters with 50% interchannelmixing and measure Aharonov-Bohm oscillations in the transmission probability
of the second channel.We perform time-dependent simulations by solving the electron Schrödinger equation
through a parallel implementation of the split-step Fourier method, and we describe the charge-carrier wave function
as a Gaussian wave packet of edge states.We finally develop a simplified theoretical model to explain the features
observed in the transmission probability, and we propose possible strategies to optimize gate performances.