Phase retrapping in a pointlike $\varphi$ Josephson junction: the Butterfly effect
Superconductivity
2013-08-02 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We consider a Josephson junction, which has a bistable zero-voltage state with the stationary phases . In the non-zero 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 ( or ) the phase is retrapped for a given damping, when the junction returns from the finite-voltage state back to zero-voltage state. In the limit of low damping the Josephson junction exhibits a butterfly effect --- extreme sensitivity of the destination well on damping. This leads to an impossibility to predict the destination well.
Cite
@article{arxiv.1307.8042,
title = {Phase retrapping in a pointlike $\varphi$ Josephson junction: the Butterfly effect},
author = {E. Goldobin and R. Kleiner and D. Koelle and R. G. Mints},
journal= {arXiv preprint arXiv:1307.8042},
year = {2013}
}