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Tunneling of vortices through a weak link in an insulating Josephson array

A. Vourdas, T. P. Spiller, T. D. Clark, D. Poulton

DOI 10.1103/PhysRevB.63.104501 · Physical Review B

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Abstract

A Josephson array ring in the insulating phase with circulating vortices is considered. The persistent vortex current is calculated as a function of the charge at the center of the ring and the temperature, for the case of negligible dissipation. A weak link is introduced in the ring and the tunneling of vortices through it is described with the “dual Josephson equations.” The Hamiltonian that describes the interaction of these devices with electromagnetic fields is quantized. The use of such nonlinear devices as amplifiers and frequency converters of nonclassical microwaves is discussed.

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