Attractive Bose–Einstein condensation in a finite trap and instability of ground state energies

Pankaj Kumar Debnath

Takeya Tsurumi, Miki Wadati

Ground state properties of a toroidally trapped Bose-Einstein condensate are investigated analytically. Through the variational approach, effects of the geometrical curvature and the inter-atomic interaction are taken into consideration. It is shown that the curvature lowers the ground state energy, and that the condensate is attracted towards the axis of symmetry of the torus.

Jian Zhang

J Hang

Luc Bergé, Tristram J. Alexander, Yuri S. Kivshar

A general stability criterion is derived for the ground states of the Gross-Pitaevskii equation, which describes attractive Bose-Einstein condensates confined in a magnetic trap. These ground states are shown to avoid the collapse in finite time and are proven to be stable in two and three spatial dimensions.

Derek W. Robinson