Electronic quantum optics beyond the integer quantum Hall effect

TL;DR

This paper explores advanced electron quantum optics experiments beyond the integer quantum Hall effect, including topological insulators and hybrid devices, revealing new quantum phenomena and collision effects.

Contribution

It extends quantum optics analogs to novel condensed matter systems, uncovering new physics in topological insulators and superconductor hybrid structures.

Findings

Observation of two-electron collisions in topological insulators.

Demonstration of electron quantum optics with Bogoliubov quasiparticles.

Identification of new quantum interference effects in exotic edge states.

Abstract

The analog of two seminal quantum optics experiments are considered in a condensed matter setting with single electron sources injecting electronic wave packets on edge states coupled through a quantum point contact. When only one electron is injected, the measurement of noise correlations at the output of the quantum point contact corresponds to the Hanbury-Brown and Twiss setup. When two electrons are injected on opposite edges, the equivalent of the Hong-Ou-Mandel collision is achieved, exhibiting a dip as in the coincidence measurements of quantum optics. The Landauer-Buttiker scattering theory is used to first review these phenomena in the integer quantum Hall effect, next, to focus on two more exotic systems: edge states of two dimensional topological insulators, where new physics emerges from time reversal symmetry and three electron collisions can be achieved; and edges states of a hybrid Hall/superconducting device, which allow to perform electron quantum optics experiments with Bogoliubov quasiparticles.