  We study the transport properties of a voltage-biased Josephson junction
where the BCS superconducting leads are coupled via the edges of a quantum Hall
sample. In this scenario, an out of equilibrium Josephson current develops,
which is numerically studied within the Floquet-Keldysh Green's function
formalism. We particularly focus on the time-averaged current as a function of
both the bias voltage and the magnetic flux threading the sample and analyze
the resonant multiple Andreev reflection processes that lead to an enhancement
of the quasiparticle transmission. We find that a full tomography of the dc
current in the voltage-flux plane allows for a complete spectroscopy of the
one-way edge modes and could be used as a hallmark of chiral edge mediated
transport in these hybrid devices.
