Breathers in Josephson junction ladders: resonances and electromagnetic waves spectroscopy
arXiv:cond-mat/0103280 · doi:10.1103/PhysRevE.64.066601
Abstract
We present a theoretical study of the resonant interaction between dynamical localized states (discrete breathers) and linear electromagnetic excitations (EEs) in Josephson junction ladders. By making use of direct numerical simulations we find that such an interaction manifests itself by resonant steps and various sharp switchings (voltage jumps) in the current-voltage characteristics. Moreover, the power of ac oscillations away from the breather center (the breather tail) displays singularities as the externally applied dc bias decreases. All these features can be mapped to the spectrum of EEs that has been derived analytically and numerically. Using an improved analysis of the breather tail, a spectroscopy of the EEs is developed. The nature of breather instability driven by localized EEs is established.
15 pages, 13 figures
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- Observation of breather-like states in a single Josephson cell
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- Flat and almost flat bands in the quasi-one-dimensional Josephson junction array
- Stability of mode-locked kinks in the ac driven and damped sine-Gordon lattice