We analyze the dynamics of two trapped interacting Bose-Einstein condensates in the absence of thermal cloud and identify two regimes for the evolution: a regime of slow periodic oscillations and a regime of strong nonlinear mixing leading to the damping of the relative motion of the condensates. We compare our predictions with an experiment recently performed at JILA.

Phys. Rev. Lett.

Sinatra, A., Fedichev, P. O., Castin, Y., Dalibard, J., & Shlyapnikov, G. V. (1999). Dynamics of two interacting Bose-Einstein condensates. Phys.Rev.Lett., 82, 251–254.