Abstract
We simulate the time-resolved dynamics of localized electrons in a 2DEG system, where an external magnetic field creates quantum Hall edge states, and properly polarized split gates define a Mach-Zehnder electron interferometer. The carriers travelling inside the Hall channels consist of localized wave packets of edge states: they are propagated numerically bymeans of a Fourier split-step approach. We find that the energy-dependent, scattering process at the quantum point contacts, together with the finite energy distribution of the carriers, have a remarkable effect on the transmission coefficient T of the device. We provide an analytical model to justify the characteristics of T which is in good agreement with the numerical simulations.
Highlights
Many recent theoretical and experimental works [1, 2, 3, 4] in the eld of electron interferometry rely on edge states (ESs) in the integer quantum Hall regime as perfect 1D channels for coherent carrier transport
The long-term aim of our work is devising solid-state ying qubits consisting of carriers travelling in ESs, and quantum logic gates based on quantum point contacts (QPCs) and a suitable pattern of surface split-gate designing a network of Hall edge channels
Our study is focused on the energy dependence of the transmission of the QPCs: since our carriers have a nite distribution of energies, this dependence has a remarkable impact on the total transmission coecient T of the mesoscopic Mach-Zehnder electron interferometer (MZI)
Summary
Many recent theoretical and experimental works [1, 2, 3, 4] in the eld of electron interferometry rely on edge states (ESs) in the integer quantum Hall regime as perfect 1D channels for coherent carrier transport. These channels are highly immune to scattering and decoherence, being a good candidate as semiconductor quantum bits. The results of numerical simulations are supported by a simplied exactly solvable analytical model
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