Vortex Solutions in a Binary Immiscible Bose-Einstein Condensate

R. Doran; A. W. Baggaley; N. G. Parker

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arXiv · 2207.12913

Vortex Solutions in a Binary Immiscible Bose-Einstein Condensate

R. Doran·A. W. Baggaley·N. G. Parker

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Abstract

We consider the mean-field vortex solutions and their stability within a two-component Bose Einstein condensate in the immiscible limit. A variational approach is employed to study a system consisting of a majority component which contains a single quantised vortex and a minority component which fills the vortex core. We show that a super-Gaussian function is a good approximation to the two-component vortex solution for a range of atom numbers of the in-filling component, by comparing the variational solutions to the full numerical solutions of the coupled Gross-Pitaevskii equations. We subsequently examine the stability of the vortex solutions by perturbing the in-filling component away from the centre of the vortex core, thereby demonstrating their stability to small perturbations.

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R. Doran, A. W. Baggaley, N. G. Parker. 2022-07-26. Vortex Solutions in a Binary Immiscible Bose-Einstein Condensate. https://arxiv.org/abs/2207.12913

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