Incommensurate dynamics of resonant breathers in Josephson junction ladders

Abstract

We present theoretical and experimental studies of resonant localized resistive states in a Josephson junction ladder. These complex breather states are obtained by tuning the breather frequency into the upper band of linear electromagnetic oscillations of the ladder. Their prominent feature is the appearance of resonant steps in the current-voltage (I-V ) characteristics. We have found the resonant breather-like states displaying incommensurate dynamics. Numerical simulations show that these incommensurate resonant breathers persist for very low values of damping. Qualitatively similar incommensurate breather states are observed in experiments performed with Nb-based Josephson ladders. We explain the appearance of these states with the help of resonance-induced hysteresis features in the I-V dependence. 74.50+r, 05.45Yv, 63.20Ls

Discrete breathers — Advances in theory and applications

“…This has been achieved both theoretically and experimentally by using the fact that when driving a breather into a resonance, not all resistive junctions have to lock to to the cavity mode [109]. In such a case the breather becomes an object, where different resistive junctions rotate at different incommensurate frequencies.…”

Discrete breathers in Josephson arrays

“…The theoretical prediction for the positions of the resonances was also compared with numerical simulations. In a different work Fistul et al 15 studied the quasiperiodic dynamics found in some of the resonant breathers experimentally found in arrays with ϭ2.6 and ⌫ϭ0.025.…”

“…After these works more experiments were done and the results reported on various publications. [12][13][14][15][16][17] Experiments at MIT 2 were done in open ladders with nine vertical junctions ͑see Fig. 6͒.…”

Discrete Breathers with Dissipation

“…This has been achieved, both theoretically and experimentally, by using the fact that not all resistive junctions have to lock to the cavity mode when a breather is driven into a resonance [40]. In such a case, the breather becomes an object where different resistive junctions rotate at various incommensurate frequencies.…”