We examine decoherence effects in the Josephson current of a Cooper pair shuttle. Dephasing due to gate voltage fluctuations can either suppress or enhance the critical current and also change its sign. The current noise spectrum displays a peak at the Josephson coupling energy and shows a phase dependence.
@article{arxiv.cond-mat/0212414,
title = {Decoherence in a Cooper pair shuttle},
author = {Alessandro Romito and Francesco Plastina and Rosario Fazio},
journal= {arXiv preprint arXiv:cond-mat/0212414},
year = {2009}
}