Recent electron quantum optics experiments performed with on-demand single electron sources call for a mixed time/frequency approach to electronic quantum coherence. Here, we present a Wigner function representation of first order electronic coherence and show that is provides a natural visualization of the excitations emitted by recently demonstrated single electron sources. It also gives a unified perspective on single particle and two particle interferometry experiments. In particular, we introduce a non-classicality criterion for single electron coherence and discuss it in the context of Mach-Zenhder interferometry. Finally, the electronic Hanbury Brown and Twiss and the Hong Ou Mandel experiments are interpreted in terms of overlaps of Wigner function thus connecting them to signal processing.
@article{arxiv.1308.1630,
title = {Wigner function approach to single electron coherence in quantum Hall edge channels},
author = {D. Ferraro and A. Feller and A. Ghibaudo and E. Thibierge and E. Bocquillon and G. Fève and C. Grenier and P. Degiovanni},
journal= {arXiv preprint arXiv:1308.1630},
year = {2013}
}