Phase Retrapping in a Pointlike φ Josephson Junction: The Butterfly Effect
E. Goldobin, R. Kleiner, D. Koelle, R. G. Mints
DOI 10.1103/PhysRevLett.111.057004 · Physical Review Letters
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Abstract
We consider a φ Josephson junction, which has a bistable zero-voltage state with the stationary phases ψ=±φ. In the nonzero voltage state the phase “moves” viscously along a tilted periodic double-well potential. When the tilting is reduced quasistatically, the phase is retrapped in one of the potential wells. We study the viscous phase dynamics to determine in which well (−φ or +φ) the phase is retrapped for a given damping, when the junction returns from the finite-voltage state back to the zero-voltage state. In the limit of low damping, the φ Josephson junction exhibits a butterfly effect—extreme sensitivity of the destination well on damping. This leads to an impossibility to predict the destination well.
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