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Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates

Victor M. Perez-Garcia, Juan J. Garcia-Ripoll

cond-matarXiv:cond-mat/9912308

Abstract

We study the stability and dynamics of vortices in two-species condensates using a two mode model. The recent experimental results obtained at JILA (M. R. Matthews, et al., Phys. Rev. Lett. 83 (1999) 2498) and theoretical predictions based on the Gross-Pitaevskii equations are verified. We also make an exhaustive analysis of the stability properties of the system when the relative populations of the two species and/or their relative scattering lengths are changed and prove that stabilization of otherwise unstable configurations can be attained by controlling the relative population of both species.

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