Abstract

The quantum dynamics of vortices in very long and narrow arrays of Josephson junctions have been studied experimentally. The motion of the vortices through the one-dimensional array is homologous to the motion of a boson through a one-dimensional periodic potential. The external force on the vortices is proportional to the bias current. When the bias current exceeds a critical value, a negative differential resistance is observed. In the presence of external RF radiation the IV-characteristic exhibits steps at currents which scale with the RF frequency. The position of the steps also depends on the vortex density, which is probably caused by a collective effect of the vortices. These preliminary results strongly indicate the existence of a vortex bandstructure.

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