ac Josephson Effect in a Single Quantum Channel

D. Averin; A. Bardas

doi:10.1103/PhysRevLett.75.1831

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ac Josephson Effect in a Single Quantum Channel

D. Averin, A. Bardas

DOI 10.1103/PhysRevLett.75.1831 · Physical Review Letters

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Abstract

We have calculated all the components of the current in a short one-dimensional channel between two superconductors for arbitrary voltages and transparencies D of the channel. We demonstrate that in the ballistic limit ( D≃1) the crossover between the quasistationary evolution of the Josephson phase difference ϕ at small voltages and transport by multiple Andreev reflections at larger voltages can be described as the Landau-Zener transition induced by finite reflection in the channel. For perfect transmission and vanishing energy relaxation rates the stationary current-phase relation is never recovered, and I(ϕ)=Ic∣sinϕ/2∣sgnV for arbitrary small voltages.