Two‐particle interferometry in quantum Hall edge channels

Abstract

Since pioneering works of Hanbury-Brown and Twiss, intensity-intensity correlations have been widely used in astronomical systems, for example to detect binary stars. They reveal statistics effects and two-particle interference, and offer a decoherence-free probe of the coherence properties of light sources. In the quantum Hall edge channels, the concept of quantum optics can transposed to electrons, and an analogous two-particle interferometry can be developed, in order to characterize single-electron states. We review in this article the recent experimental and theoretical progress on this topic.

Electron quantum optics as quantum signal processing

“…We will discuss the signal processing operations performed in various single‐ and two‐particle interferometers used to probe single‐electron coherence. Our discussion is complementary to that of the review which discusses two‐particle interferometry experiments in quantum Hall edge channels and the underlying theory. Here, the same concepts are reviewed with a strong emphasis on the quantum signal processing point of view.…”

“…Electron quantum optics, thus, offers unprecedented possibilities to study these basic condensed matter physics questions down to the single‐electron level. These possibilities are illustrated by recent two‐particle interferometry experiments in quantum Hall edge channels which are reviewed in the present volume .…”

“…As reviewed in this volume , the HOM experiment has also recently been used to probe interaction effects within quantum Hall edge channels. In these experiments, performed at filling factor , two single‐electron sources are located at some distance of the QPC and interaction effects are strong enough to lead to quasi‐particle destruction, as suggested by energy relaxation experiments .…”

Time-energy filtering of single electrons in ballistic waveguides

“…A comparison between the initial-state Wigner function r ( ) E t , in , the modified Wigner function r( ) E t , for two different parameter choices, and the semiclassical expectation 4…”

“…Electron quantum optics is a relatively new field, aiming to reproduce quantum optics experiments with electron wave packets instead of photons [1][2][3][4]. It offers the prospects of probing the interaction between just a few electrons, as well as studying phenomena on the scale of electron coherence time.…”