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arXiv · 1206.4834

Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates

D. Kobyakov·V. Bychkov·E. Lundh·A. Bezett·M. Marklund
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Abstract

We study parametric resonance of capillary waves on the interface between two immiscible Bose-Einstein condensates pushed towards each other by an oscillating force. Guided by analytical models, we solve numerically the coupled Gross-Pitaevskii equations for two-component Bose-Einstein condensate at zero temperature. We show that, at moderate amplitudes of the driving force, the instability is stabilized due to non-linear modifications of the oscillation frequency. When the amplitude of the driving force is large enough, we observe detachment of droplets from the Bose-Einstein condensates, resulting in generation of quantum vortices (skyrmions). We analytically investigate the vortex dynamics, and conditions of quantized vortex generation.

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D. Kobyakov, V. Bychkov, E. Lundh, A. Bezett, M. Marklund. 2012-06-21. Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates. https://doi.org/10.1103/physreva.86.023614

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