Probing the photon-assisted processes of anyons of charge e/3 and e/5 in the FQHE regime*

Recently, the microwave excitation of fractional edge channels at GHz frequency f have demonstrated time domain manipulation of e*=e/3 and e*=e/5 charged anyons in the FQHE regime [1]. The signature of anyons absorbing a single photon was observed a shot noise ingularity when the applied voltage obeying the fractional Josephson relation e*V=hf. Going beyond these observations we analyze the amplitude of the microwave field propagating from the excited contact to a Quantum Point Contact. Using photon-assisted current, the microwave amplitude is shown to display interference when sweeping the frequency from 2 to 18GHz. We attribute these interference features to different propagation velocities of neutral and charged electron (or anyon) modes when several integer or fractional edge propagates in parallel. This study provide the necessary information to realize single anyon sources similar to Leviton [2] sources.
[1] A Josephson relation for fractionnally charged anyons, M. Kapfer et al. ( SCIENCE (2019) https://doi.org/10.1126/science.aau3539 )
[2] Minimal-excitation states for electron quantum optics using levitons, J. Dubois et al., NATURE 502, 659-663 (2013