ar X iv : c on d - m at / 0 10 10 14 v 1 2 J an 2 00 1 Vortices in Bose - Einstein condensates confined in a multiply connected Laguerre - Gaussian optical trap
نویسندگان
چکیده
The quantized vortex state is investigated in a Bose-Einstein condensate, confined in a multiply connected geometry formed by a Laguerre-Gaussian optical trap. Solving the Gross-Pitaevskii equation variationally, we show that the criterium for vortex stability is that the interatomic interaction strength must exceed a critical interaction strength. The time evolution of a freely expanding Laguerre-Gaussian condensate with a vortex is calculated, and used to derive the interference pattern of such a condensate overlapping with a parabolically trapped condensate. Typeset using REVTEX 1
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Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap
The quantized vortex state is investigated in a Bose-Einstein condensate, confined in a multiply connected geometry formed by a Laguerre-Gaussian optical trap. Solving the Gross-Pitaevskii equation variationally, we show that the criterion for vortex stability is that the interatomic interaction strength must exceed a critical interaction strength. The time evolution of a freely expanding Lague...
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