Electronic quantum optics beyond the integer quantum Hall effect

The analogs 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–Büttiker 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 electron quantum optics experiments with Bogoliubov quasiparticles to be performed.