Stability of trapped Bose-Einstein condensates

摘要: In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study effect of initial conditions on stability using a Gaussian variational approach and exact numerical simulations. We also discuss validity criterion for suggested Vakhitov Kolokolov. The maximum chirp (initial focusing defocusing cloud) that can lead stable to collapse even before number atoms reaches its critical limit is obtained several specific cases. When consider two- three-body nonlinear terms, with negative cubic positive quintic have existence two phases in condensate. this case, magnitude oscillations between are studied considering sufficient large chirps. occurrence BEC repulsive two-body interaction shown be possible.