Prethermalization in one-dimensional Bose gases: description by a   stochastic Ornstein-Uhlenbeck process
  We experimentally study the relaxation dynamics of a coherently split one-dimensional Bose gas using matterwave interference. Measuring the full probability distributions of interference contrast reveals the prethermalization of the system to a non-thermal steady state. To describe the evolution of noise and correlations we develop a semiclassical effective description that allows us to model the dynamics as a stochastic Ornstein-Uhlenbeck process. 
Tim Langen, Michael Gring, Maximilian Kuhnert, Bernhard Rauer, Remi   Geiger, David Adu Smith, Igor E. Mazets, and J\"org Sc...
cond-mat.quant-gas cond-mat.stat-mech