[Landau ITP Seminars] Friday 24.05.2019

[Serge Krashakov]

Уважаемые сотрудники ИТФ,

В пятницу 24 мая состоится коллоквиум, на котором будет заслушан доклад:

D. Christian Glattli (CEA Saclay, France)
*Minimal excitations states: From time resolved single particle 
fermionic states for Electron Quantum Optics to Digital communication 
and music.*

In the 90’s, an impressive series of works by theoreticians from the 
Landau Institute on electrons shot noise in quantum conductors [1] and 
on the statistics of transfer of electrons [2] has leaded to the 
emergence of the beautiful concept of minimal excitation states [3-5]. 
These minimal excitation states can be generated by applying voltage 
pulses on the contact of a conductor to inject short single electron 
pulses. These states show minimal noise and provide a convenient and 
clean single electron source for electron optics whose aim is to perform 
quantum optics tasks with electrons instead of photons. The minimal 
excitations states, now called levitons, have been produced in recent 
experiments [6] and have triggered a large number of theoretical works. 
They have enabled Hong Ou Mandel like experiments [6] with electrons and 
single electron quantum Tomography [7]. Extension to fractionally 
charged anyons is possible.
At the root of the minimal excitation property is a specific single side 
band modulation of the electron wave by the Lorentzian voltage pulse. 
This property can be applied to classical electromagnetic or acoustic 
waves for applications in digital communication [8] or in music sound 
synthesis.

[1] G. B. Lesovik, JETP Letters, 49 (9), 592-594 (1989).
[2] L.S. Levitov, G.B. Lesovik, Charge-transport statistics in quantum 
conductors, JETP Lett., 55 (9), 555-559 (1992).
[3] A. Ivanov, H.W. Lee, L.S. Levitov, Coherent states of alternating 
current, Phys. Rev. B 56(11), 6839-6850 (1997); cond-mat/9501040
[4] L.S. Levitov, H. Lee, G.B. Lesovik, Electron Counting Statistics and 
Coherent States of Electric Current, J. Math. Phys., 37(10), 4845-4866 
(1996); cond-mat/9607137.
[5] J. Keeling, I. Klich, and L. S. Levitov, Minimal Excitation States 
of Electrons in One-Dimensional Wires, Phys. Rev. Lett. 97, 116403 (2006).
[6] Minimal-excitation states for electron quantum optics using 
levitons, J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. 
Jin, W. Wegscheider, P. Roulleau & D. C. Glattli, Nature, 502, 659–663 
(2013).
[7] Quantum tomography of an electron, T. Jullien, P. Roulleau, B. 
Roche, A. Cavanna, Y. Jin & D. C. Glattli, Nature, 514, 603–607 (2014).
[8] Power Spectrum Density of Single Side Band CPM Using Lorenztian 
Frequency Pulses, Haïfa Farès, D. Christian Glattli, Yves Louet, Jacques 
Palicot, Preden Roulleau, and Christophe Moy, IEEE Wireless 
Communications Letters, 6 (6), 786-789 (2017).
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