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Ground states and dynamics in a two-component condensate

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A mixture of Bose-Einstein condensates (such as two different isotopes) display various ground state geometries that are dependent on the system parameters, like the inter- and intra-component coupling strengths. I will present an analysis, using the nonlinear sigma model in the mean-field limit, that will enable us to understand these ground states theoretically. After the theory have been developed, I will introduce various dynamical properties of vortices in a single species condensate before moving on to two-component condensates. A vortex in a two-component condensate creates a density depletion/peak in the other component. The profile of this depletion/peak will be analysed in a miscible condensate using a variational analysis which will in turn allow us to find the velocity of a vortex pair in such systems.

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