Abstract
We consider the Josephson-vortex motion in a long one-dimensional Josephson junction in a thin film. We show that this Josephson vortex is similar to a mesoscopic capacitor. We demonstrate that a single-Cooper-pair tunnelling results in non-linear Bloch-type oscillations of a Josephson vortex in a current-biased Josephson junction. We find the frequency and the amplitude of this motion.
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