Singularity formation in the GrossPitaevskii equation and collapse in BoseEinstein condensates
Abstract
We study the mechanisms of collapse of the condensate wave function in the GrossPitaevskii theory with attractive interparticle interaction. We reformulate the GrossPitaevskii equation as Newton’s equations for a flux of particles, and introduce the collapsing fraction of particles. We assume that this collapsing fraction is expelled from the condensate due to dissipation. Using this hypothesis we analyze the dependence of the collapse behavior on the initial conditions. We find that, for a properly chosen negative scattering length, the remnant fraction of atoms becomes larger when the initial aspect ratio of the condensate is increased.
 Publication:

Physical Review A
 Pub Date:
 February 2004
 DOI:
 10.1103/PhysRevA.69.023607
 Bibcode:
 2004PhRvA..69b3607R
 Keywords:

 03.75.Kk;
 05.30.Jp;
 05.45.a;
 Dynamic properties of condensates;
 collective and hydrodynamic excitations superfluid flow;
 Boson systems;
 Nonlinear dynamics and chaos