Drastic suppression of noise-induced errors in underdamped long Josephson junctions

The fluctuational propagation of solitons (magnetic fluxons) in long Josephson junctions is studied both numerically and analytically. It is demonstrated that operation in conditions where solitons are subjected to Lorentz contraction for a significant part of the junctions length leads to drastic suppression of thermal jitter at the output junction end. Specifically, for large-to-critical damping and small values of bias current, the physically obvious dependence of the jitter versus length σ~√L is confirmed, while for small damping starting from the experimentally relevant α=0.1 and below, strong deviation from σ~√L is observed, up to nearly complete independence of the jitter versus length, which is supported by the obtained theory.