VietNam 2013 

IXth Rencontres du Vietnam
Quy-Nhon, August 4-10, 2013

 QNplage

 Nanophysics: from fundamentals to applications

(the return)

 

Thursday 8
Quantum electronics, quantum information, electronic quantum optics, high frequency noise

› 14:40 - 15:00 (20min)
Wigner function representation in electron quantum optics
Pascal Degiovanni  1, *@  , Alexandre Feller  1@  , Dario Ferraro  1, *@  , Arnaud Ghibaudo  1@  , Etienne Thibierge  1@  , Charles Grenier  2@  , Erwann Bocquillon  3@  , Gwendal Feve  4@  
1 : Laboratoire de Physique de l'ENS Lyon  (Phys-ENS)  -  Website
CNRS : UMR5672, Ecole Normale Supérieure de Lyon
46 allée d'Italie 69007 Lyon -  France
2 : Centre de Physique Théorique  (CPHT)  -  Website
CNRS : UMR7644, Polytechnique - X
91128 Palaiseau Cedex France -  France
3 : Laboratoire Pierre Aigrain  (LPA)  -  Website
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)  -  Website
CNRS : UMR8551, Université Pierre et Marie Curie - Paris VI, Université Paris Diderot - Paris 7, Ecole Normale Supérieure de Paris - ENS Paris
Département de Physique Ecole Normale Supérieure 24, rue Lhomond F-75231 Paris Cedex 05 -  France
* : Corresponding author

A time-frequency description of the electron coherence will be presented in analogy with the 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.

The effects of interaction with the external environment leading to decoherence and relaxation will be also discussed.


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