Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Nonlinear Dynamics, Synchronization and Chaos I
DY 12.5: Vortrag
Dienstag, 12. März 2013, 10:30–10:45, H48
Phase retrapping in a ϕ Josephson junction — the butterfly effect — •Edward Goldobin1, Dieter Koelle1, Reinhold Kleiner1, and Roman G. Mints2 — 1Universität Tübingen, 72076 Tübingen, Germany — 2Tel Aviv University, Tel Aviv 69978, Israel
We consider retrapping of the phase in a point-like ϕ Josephson junction[1,2] upon switching from a finite voltage state back to a zero-voltage state, i.e. retrapping of a particle moving viscously in a tilted periodic double-well potential when the tilt is adiabatically reduced. We find the dependence of the retrapping current (tilt) γR on the damping parameter α and analyze in which well of the double-well potential the phase is trapped for given α. In the limit of low damping α (low temperature) the system exhibits a butterfly effect — extreme sensitivity of the destination well on the damping α and even on temperature T∝ln(α), which leads to an impossibility to forecast the destination well where the phase will be retrapped.
[1] E. Goldobin et al., Phys. Rev. Lett. 107, 227001 (2011).
[2] H. Sickinger et al., Phys. Rev. Lett. 109, 107002 (2012).