Josephson junction as a detector of Poissonian charge injection

We propose a scheme of measuring the non-Gaussian character of noise by a hysteretic Josephson junction in the macroscopic quantum tunneling regime. We model the detector as an (under)damped LC resonator. It transforms Poissonian charge injection into current through the detector, which samples the injection statistics over a floating time window of length ∼Q/ωJ, where Q is the quality factor of the resonator and ωJ its resonance frequency. This scheme ought to reveal the Poisson character of charge injection in a detector with realistic parameters.