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arXiv:0908.1761

Josephson effect in Superconductors and Superfluids

Anna Posazhennikova

Published Aug 12, 2009• 2 citations
arXivHTMLPDF

Abstract

We present a brief pedagogical introduction into the basic physics of the Josephson effect in superconductors and Bose-Einstein condensates. We show how the critical Josephson current between two superconductors can be derived microscopically. We also shortly discuss the Josephson effect in superfluid Helium.
DOI
10.48550/arxiv.0908.1761

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A microscopic theory of the ac Josephson effect in superfluid helium is proposed on the basis of the Heisenberg equation of the dressed-boson operators. The equation is solved exactly. The interference of the two eigen-oscillations in the exact solution produces the Josephson oscillation. It is verified that the oscillation occurs even when the quantum fluctuation of the relative phase is infinitely large. On the basis of these results, we propose an experiment to detect the tunnelling effect of the dressed-bosons. The formulation of this paper can be applied to the Josephson effect in superconductor.
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