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Instabilities of wave function monopoles in Bose-Einstein condensates

Th. Busch·J. R. Anglin
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Abstract

We present analytic and numerical results for a class of monopole solutions to the two-component Gross-Pitaevski equation for a two-species Bose condensate in an effectively two-dimensional trap. We exhibit dynamical instabilities involving vortex production as one species pours through another, from which we conclude that the sub-optical sharpness of potentials exerted by matter waves makes condensates ideal tools for manipulating condensates. We also show that there are two equally valid but drastically different hydrodynamic descriptions of a two-component condensate, and illustrate how different phenomena may appear simpler in each.

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Th. Busch, J. R. Anglin. 1998-11-11. Instabilities of wave function monopoles in Bose-Einstein condensates. https://doi.org/10.1103/physreva.60.r2669

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