Full counting statistics applied to dissipative Cooper pair pumping

TL;DR

This paper applies full counting statistics to analyze charge transport in a dissipative Cooper pair pump, demonstrating that the rotating wave approximation yields accurate results within this framework, unlike traditional methods.

Contribution

It introduces the use of full counting statistics for analyzing dissipative Cooper pair pumps and shows the RWA's validity within this approach.

Findings

FCS provides accurate charge transport calculations in dissipative Cooper pair pumps.

The RWA is valid within the FCS framework, contrary to traditional methods.

FCS offers a more reliable analysis than integrating instantaneous current expectations.

Abstract

We calculate the charge transport in a flux biased dissipative Cooper pair pump using the method of full counting statistics (FCS). This is instead of a more traditional technique of integrating a very small expectation value of the instantaneous current over the pumping period. We show that the rotating wave approximation (RWA), which fails in the traditional technique, produces accurate results within the FCS method.