Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap

Details Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap

2001-07-13

arxiv.org/abs/cond-mat/0107298v2

Phys. Rev. E 65 (2002) 016703 (1-9)

Physics

Condensed Matter

Soft Condensed Matter

8 Latex pages, 5 postscript figures, Accepted in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.016703

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 $L$. The critical number increases with angular momentum $L$ of the vortex state but tends to saturate for large $L$.

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