Anyonic analogue of optical Mach-Zehnder interferometer

Anyonic interferometry provides a direct means to probe fractional statistics in the fractional quantum Hall regime. In this talk, we discuss an interferometer geometry, analogous to an optical Mach-Zehnder setup, that overcomes several limitations of existing electronic interferometers. Unlike conventional electronic Mach-Zehnder geometries, our device contains no drain within the interferometer region, ensuring that the enclosed topological charge remains fixed in time. Compared to Fabry-P{\'e}rot interferometers, our geometry does not allow anyons to make multiple loops around the device, allowing a transparent interpretation of the interference signal purely in terms of anyonic statistical phases. The configuration also mitigates unwanted bulk-edge coupling effects. Importantly, the setup enables exact analytical expressions for both current and noise for an arbitrary quasiparticle tunneling strength in a broad range of conditions. The structure of the solutions is similar to that for noninteracting electrons but reflects fractional charge and statistics. We present explicit results for Jain states and discuss extensions to thermal interferometry under zero-bias conditions.