Josephson Vortex Bloch Oscillations: Single Pair Tunneling Effect

TL;DR

This paper investigates the nonlinear Bloch-type oscillations of Josephson vortices in a long one-dimensional Josephson junction, revealing that single Cooper pair tunneling induces these oscillations and characterizing their frequency and amplitude.

Contribution

It introduces the concept that a Josephson vortex behaves like a mesoscopic capacitor and demonstrates that single Cooper pair tunneling causes observable Bloch oscillations.

Findings

Single Cooper pair tunneling induces nonlinear Bloch oscillations.

The frequency and amplitude of vortex oscillations are characterized.

Josephson vortex acts as a mesoscopic capacitor.

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 tunneling results in nonlinear Bloch--type oscillations of a Josephson vortex in a current-biased Josephson junction. We find the frequency and the amplitude of this motion.