A theoretical study of the single electron coherence properties of Lorentzian and rectangular pulses is presented. By combining bosonization and the Floquet scattering approach, the effect of interactions on a periodic source of voltage pulses is computed exactly. When such excitations are injected into one of the channels of a system of two copropagating quantum Hall edge channels, they fractionalize into pulses whose charge and shape reflects the properties of interactions. We show that the dependence of fractionalization induced electron/hole pair production in the pulses amplitude contains clear signatures of the fractionalization of the individual excitations. We propose an experimental setup combining a source of Lorentzian pulses and an Hanbury Brown and Twiss interferometer to measure interaction induced electron/hole pair production and more generally to reconstruct single electron coherence of these excitations before and after their fractionalization.
@article{arxiv.1301.6777,
title = {Fractionalization of minimal excitations in integer quantum Hall edge channels},
author = {C. Grenier and J. Dubois and T. Jullien and P. Roulleau and D. C. Glattli and P. Degiovanni},
journal= {arXiv preprint arXiv:1301.6777},
year = {2013}
}