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-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 electron quantum optics experiments with Bogoliubov quasiparticles to be performed.