Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap
arXiv:cond-mat/0107298 · doi:10.1103/PhysRevE.65.016703
Abstract
Quantized vortex states of weakly interacting Bose-Einstein condensate of atoms with attractive interatomic interaction in an axially symmetric harmonic oscillator trap are investigated using the numerical solution of the time-dependent Gross-Pitaevskii (GP) equation obtained by the semi-implicit Crank-Nicholson method. Collapse of the condensate is studied in the presence of deformed traps with a larger frequency along the radial as well as along the axial directions. The critical number of atoms for collapse is calculated as a function of vortex quantum . The critical number increases with angular momentum of the vortex state but tends to saturate for large .
8 Latex pages, 5 postscript figures, Accepted in Phys. Rev. E
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