Abstract:We discuss coherent transport of Cooper pairs through a Cooper pair shuttle. We analyze both the DC and AC Josephson effect in the two limiting cases where the charging energy EC is either much larger or much smaller than the Josephson coupling EJ . In the limit EJ ≪ EC we present the detailed behavior of the critical current as a function of the damping rates and the dynamical phases. The AC effect in this regime is very sensitive to all dynamical scales present in the problem. The effect of fluctuations of t… Show more
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