Impact of Channel Mixing on the Visibility of Two-particle Interferometry in Quantum Hall Edge States

TL;DR

This paper studies how channel mixing affects the visibility of two-particle interferometry in quantum Hall edge states, showing that mixing reduces interference visibility and depends on voltage drive shapes.

Contribution

It introduces a model analyzing the impact of inter-edge tunneling on noise visibility, comparing simple and continuous mixing scenarios in quantum Hall interferometers.

Findings

Mixing reduces interference visibility in two-particle interferometry.

The shape of voltage drives influences the extent of visibility reduction.

Continuous mixing models show different effects compared to single mixing point models.

Abstract

We consider a two-particle interferometer, where voltage sources applied to ohmic contacts inject electronic excitations into a pair of copropagating edge channels. We analyze the impact of channel mixing due to inter-edge tunneling on the current noise measured at the output of the interferometer. Due to this mixing, the noise suppression typically expected for synchronized injecting sources is incomplete, thereby reducing the visibility of the interference. We investigate to which extent the impact of mixing on the noise visibility depends on different shapes of the voltage drives. Furthermore, we compare a simple model involving a single mixing point between the sources and the quantum point contact to the more realistic case of a continuous distribution of weak mixing points.