Transition to strong wave turbulence in Bose-Einstein condensates

Abstract

We study numerically wave turbulence in a Bose-Einstein condensate in the forced and dissipated inverse cascade settings. We observe that when the forcing rate is increased, the turbulence spectrum gradually transitions from the weak-wave turbulence Kolmogorov-Zakharov cascade to a critical balance state characterised by a range of scales with balanced linear and nonlinear dynamic timescales. Further forcing increase leads to emergence of a coherent condensate component superimposed with Bogolyubov-type acoustic turbulence.