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

Dario Ferraro; Alexandre Feller; Arnaud Ghibaudo; Etienne Thibierge; Erwann Bocquillon; Gwendal Fève; Charles Grenier; Pascal Degiovanni

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

Dario Ferraro ¹ Alexandre Feller ¹ Arnaud Ghibaudo ¹ Etienne Thibierge ¹ Erwann Bocquillon ² Gwendal Fève ² Charles Grenier ³ Pascal Degiovanni ^{1, *}

* Corresponding author

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

2 LPA - Laboratoire Pierre Aigrain

3 CPHT - Centre de Physique Théorique [Palaiseau]

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.

keyword : quantum transport quantum Hall e ect quantum coherence

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]

Complete list of metadatas

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 : Thursday, May 9, 2019 - 2:06:03 PM

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

Links full text

Identifiers

Collections

Citation

Export

Metrics

290

Contact

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

Links full text

Identifiers

Collections

Citation

Export

Share

Metrics

290

Contact