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Splitting instability of a multiply charged vortex in a Bose-Einstein condensate

Yuki Kawaguchi, Tetsuo Ohmi
2004 Physical Review A. Atomic, Molecular, and Optical Physics  

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2004 pre-print
arXiv:cond-mat/0402553v2 fatcat:wexzpzebz5cflfqgmmxer23biu
2004 pre-print
arXiv:cond-mat/0402553v1 fatcat:tac3ceqc3fc5padwpgcwxcjywy
2004 accepted
arXiv:cond-mat/0402553v3 fatcat:bavjpqbjzbbrpget2czbgkf6mq
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
more » ... uration 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.
doi:10.1103/physreva.70.043610 fatcat:4jdbnezzxfbztctknsfnr7ykm4
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Yuki Kawaguchi, Tetsuo Ohmi. "Splitting instability of a multiply charged vortex in a Bose-Einstein condensate." Physical Review A. Atomic, Molecular, and Optical Physics 70.4 (2004)