Dynamics of the collapse of a Bose-Einstein condensate

摘要

We investigate the dynamical stability of a Bose-Einstein condensate in a non-isotropic harmonic magnetic trap and present the conditions for the collapse of the system. We show that the condensate may exhibit a variety of exciting phenomena. The system has two modes of vibration, transverse and longitudinal. If the mean-field interaction between the atoms is attractive and if the energy of the system is negative, the condensate droplet collapses. When the collapse takes place, there is an interesting interplay between the modes of vibration. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 13]