Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate

Details Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate

2004-02-23

arxiv.org/abs/cond-mat/0402553v3

Phys. Rev. A 70, 043610 (2004)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 7 figures

Scientific paper

10.1103/PhysRevA.70.043610

We consider the splitting mechanism of a multiply charged vortex into singly charged vortices in a Bose-Einstein condensate confined in a harmonic potential at zero temperature. The Bogoliubov equations support unstable modes with complex eigenfrequencies (CE modes), which cause the splitting instability without the influence of thermal atoms. The investigation of the excitation spectra shows that the negative-energy (NE) mode plays an important role in the appearance of the CE modes. The configuration of vortices in splitting is determined by the angular momentum of the associated NE mode. This structure has also been confirmed by the numerical simulation of the time-dependent Gross-Pitaevskii equation.

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