Supratransmission-induced travelling breathers in long Josephson junctions

TL;DR

This paper theoretically investigates how nonlinear supratransmission can generate traveling breathers in long Josephson junctions, considering dissipation, bias, and noise, revealing conditions for breather formation and their dynamic properties.

Contribution

It introduces a theoretical framework for supratransmission-induced breather generation in Josephson junctions, including effects of noise and dissipation, which was not previously detailed.

Findings

Breather excitations can be selectively generated depending on pulse shape and system parameters.

The probability of breather-only generation exhibits nonmonotonic dependence on noise intensity.

Breather dynamics characterized by radiative decay lifetime and energy behavior.

Abstract

The emergence of travelling sine-Gordon breathers due to the nonlinear supratransmission effect is theoretically studied in a long Josephson junction driven by suitable magnetic pulses, taking into account the presence of dissipation, a current bias, and a thermal noise source. The simulations clearly indicate that, depending on the pulse's shape and the values of the main system parameters, such a configuration can effectively yield breather excitations only. Furthermore, a nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. Finally, the dynamics of the supratransmission-induced breathers is characterized by looking at quantities such as their radiative decay lifetime and the medium's energy.