Full counting statistics of multiple Andreev reflection

TL;DR

This paper derives the full counting statistics for charge transfer in a voltage-biased superconducting junction, revealing correlated multiple-electron transfer processes over long measurement times.

Contribution

It provides a new theoretical framework expressing counting statistics via quasiparticle scattering amplitudes for superconducting junctions.

Findings

Charge transfer involves correlated multiple-electron quanta.

Statistics describe transfer of single quasiparticles over long times.

Expression derived in terms of quasiparticle scattering amplitudes.

Abstract

We derive the full counting statistics of charge transfer through a voltage biased superconducting junction. We find that for measurement times much longer than the inverse Josephson frequency, the counting statistics describes a correlated transfer of quanta of multiple electron charges, each quantum associated with the transfer of a single quasiparticle. An expression for the the counting statistics in terms of the quasiparticle scattering amplitudes is derived.