Mercredi 17
Session Poster

› 19:30 - 22:00 (2h30)
› Cour Rataud
"Wigner function representation in electron quantum optics."
Dario Ferraro  1, *@  , Pascal Degiovanni  1@  , Charles Grenier  2@  , Etienne Thibierge  1@  , Erwann Bocquillon  3@  , Gwendal Feve  4@  
1 : Laboratoire de Physique de l'ENS Lyon  (Phys-ENS)  -  Site web
CNRS : UMR5672, Ecole Normale Supérieure de Lyon
46 allée d'Italie 69007 Lyon -  France
2 : Centre de Physique Théorique  (CPHT)  -  Site web
CNRS : UMR7644, Polytechnique - X
91128 Palaiseau Cedex France -  France
3 : Laboratoire Pierre Aigrain  (LPA)  -  Site web
CNRS : UMR8551, Université Paris VI - Pierre et Marie Curie, Université Paris VII - Paris Diderot, Ecole Normale Supérieure de Paris - ENS Paris
Département de Physique Ecole Normale Supérieure 24, rue Lhomond F-75231 Paris Cedex 05 -  France
4 : Laboratoire Pierre Aigrain  (LPA)  -  Site web
CNRS : UMR8551, Université Pierre et Marie Curie (UPMC) - Paris VI, Université Paris VII - Paris Diderot, Ecole Normale Supérieure de Paris - ENS Paris
Département de Physique Ecole Normale Supérieure 24, rue Lhomond F-75231 Paris Cedex 05 -  France
* : Auteur correspondant

A time-frequency description of the electron coherence will be presented in analogy with the Wigner function representation in quantum mechanics. This approach reveals extremely useful in order to encode in a unique real function both the coherence properties in the time domain and the nature of the excitation generated by single or few electron sources.
When these sources are used as inputs of a Mach-Zehnder interferometer, the quantum interferences emerge in an clear way in this representation.
From the knowledge of the Wigner function and in particular of its marginal distribution one derives the evolution of the mean current as a function of time as well as the energy spectrum that are affected in a complementary way by the interference. The measurement of these quantities is within reach of nowadays experimental techniques.


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