EQuO project : Electron Quantum Optics in quantum Hall edge

Quantum effects have been studied on photon propagation in the context of quantum optics since the second half of the last century. In particular, using single photon emitters, fundamental tests of quantum mechanics were explored by manipulating single to few photons in Hanbury-Brown and Twiss and Hong Ou Mandel experiments.

In nanophysics, there is a growing interest to translate these concepts of quantum optics to electrons propagating in nanostructures. Single electron emitters have been realized such that single elementary electronic excitations can now be manipulated in the analog of pioneer quantum optics experiments. However, electron quantum optics goes beyond the mere reproduction of optical setups using electron beams, as electrons, being interacting fermions, differ strongly from photons.

The purpose of this proposal is to specifically explore the emergence of many body physics on the propagation of a single electron using the setups and concepts of electron quantum optics. The project aims at studying the birth, life and death scenarii of single Landau quasiparticles as they dilute in the bath of collective excitations along their propagation. Secondly, the project will address the generation of entangled few electrons quantum coherent states and study how they are affected by interactions. Finally, the regime of strong electronic correlations, where the elementary excitations are no longer electrons but carry a fractional charge and obey fractional statistics, will be investigated. The objective is then to use electron quantum optics setups to manipulate single quasiparticles and probe their fractional statistics.