Dissipative dynamics of a harmonically confined Bose-Einstein condensate
  We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point of view of an oscillating disorder potential. This formulation leads to a rigorous result for the damping rate in the limit of weak disorder. 
Z. Wu and E. Zaremba
cond-mat.quant-gas