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

摘要: We present a numerical study of multichannel electronic Mach-Zehnder interferometer, based on magnetically-driven edge states. The electron path is defined by suitable realistic potential landscape the two-dimensional gas at filling factor two, assuming initially only first Landau level as filled. tailor two beam splitters with 50% inter-channel mixing and measure Aharonov-Bohm oscillations in transmission probability second channel. perform time-dependent simulations solving Schroedinger equation through parallel implementation split-step Fourier method we describe charge-carrier wave function Gaussian packet finally develop simplified theoretical model to explain features observed propose possible strategies optimize gate performances.