The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates

Abstract

We show that the onset of the snake instability of ring dark solitons requires a broken symmetry. We also elucidate explicitly the connection between imaginary Bogoliubov modes and the snake instability, predicting the number of vortex-anti-vortex pairs produced. In addition, we propose a simple model to give a physical motivation as to why the snake instability takes place. Finally, we show that tight confinement in a toroidal potential actually enhances soliton decay due to inhibition of soliton motion.

5 pages, 6 figures

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Cited by in corpus (3)

• Quantum simulation of non-trivial topology
• Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
• Condensates in annuli: Dimensionality of the variance