Time-dependent modelling of single-electron interferometry with edge-states

We simulate the time-resolved dynamics of localized electrons in a 2DEG system, where an external magnetic eld creates quantum Hall edge states, and properly polarized split gates dene a Mach-Zehnder electron interferometer. The carriers travelling inside the Hall channels consist of localized wave packets of edge states: they are propagated numerically by means of a Fourier split-step approach. We find that the energy-dependent scattering process at the quantum point contacts, together with the nite energy distribution of the carriers, have a remarkable eect on the transmission coecient T of the device. We provide an analytical model to justify the characteristics of T which is in good agreement with the numerical simulations.