Three-body losses in trapped Bose-Einstein-condensed gases

A time-dependent Kohn-Sham-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate and non-mean-field corrections due to the three-body recombination. We find that the calculated corrections are about 13 times larger for three-dimensional (3D) trapped dilute bose gases and about seven times larger for 1D trapped weakly interacting Bose gases when compared with the corresponding corrections for the ground-state energy and for the collective frequencies. The results are obtained at zero temperature.