English

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

Quantum Gases 2015-06-05 v2 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.1206.4834,
  title  = {Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates},
  author = {D. Kobyakov and V. Bychkov and E. Lundh and A. Bezett and M. Marklund},
  journal= {arXiv preprint arXiv:1206.4834},
  year   = {2015}
}

Comments

(Version 2) 11 resized figures. One new reference added

R2 v1 2026-06-21T21:23:13.942Z