Wigner function approach to single electron coherence in quantum Hall edge channels

Abstract : 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 it 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-Zehnder interferometry. Finally, the electronic Hanbury Brown and Twiss and the Hong-Ou-Mandel experiments are interpreted in terms of overlap of Wigner function, thus connecting them to signal processing.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00903723
Contributor : Pascal Degiovanni <>
Submitted on : Tuesday, November 12, 2013 - 8:25:21 PM
Last modification on : Monday, October 21, 2019 - 3:14:22 PM

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Dario Ferraro, Alexandre Feller, Arnaud Ghibaudo, Etienne Thibierge, Erwann Bocquillon, et al.. Wigner function approach to single electron coherence in quantum Hall edge channels. Physical Review B : Condensed matter and materials physics, American Physical Society, 2013, 88, pp.205303. ⟨10.1103/PhysRevB.88.205303⟩. ⟨ensl-00903723⟩

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