Geometric effects of noise on Cooper pair pumping

TL;DR

This paper explores how noise influences Cooper pair pumping, revealing that dissipation introduces a new geometric component to the transferred charge and proposing an experiment to test this effect.

Contribution

It demonstrates that noise causes a new geometric contribution in Cooper pair pumping and suggests an experimental setup to verify this theoretical prediction.

Findings

Dissipation induces a new geometric contribution in transferred charge.

Proposes an experiment to test the effects of noise on Cooper pair pumping.

Connects noise effects with geometric properties of the pumping cycle.

Abstract

Several works investigated the connection between Cooper pair pumping and the geometric and topological properties of the pumping cycle in the parameters space. Recently the predicted connection between Berry's phase and pumped charge was observed experimentally. In the present work we analyze the effects of noise on Cooper pair pumping. We show that dissipation induces a new geometric contribution in the transferred charge and we propose an experiment where the theory can be probed.