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.
@article{arxiv.1101.1332,
title = {Dissipative dynamics of a harmonically confined Bose-Einstein condensate},
author = {Z. Wu and E. Zaremba},
journal= {arXiv preprint arXiv:1101.1332},
year = {2014}
}