Thermalization of matter waves in speckle potentials

@article{Cherroret2015ThermalizationOM,
  title={Thermalization of matter waves in speckle potentials},
  author={Nicolas Cherroret and Tomasz Karpiuk and Benoit Gr'emaud and Christian Miniatura},
  journal={Physical Review A},
  year={2015},
  volume={92},
  pages={063614}
}
We show that the momentum distribution of a nonlinear matter wave suddenly released with a finite velocity in a speckle potential converges, after an out-of-equilibrium evolution, to a universal Rayleigh-Jeans thermal distribution. By exploring the complete phase diagram of the equilibrated wave, we discover that for low but nonzero values of the disorder strength, a large-scale structure -a condensate- appears in the equilibrium distribution. 

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