Abstract
We theoretically study the helical shear-flow instability in phase-separated two-component Bose-Einstein condensates by considering the case where one component forms a quantized vortex and the other component is localized in the vortex core with an uniform velocity. The analysis for a flat interface is applicable for a sufficiently large radius of the circular interface. On the other hand, when the interface radius is small, the analysis for flat interface is inapplicable and the instability is much affected by the outer vortex. The helical shear-flow instability is investigated with the interface wave model and the Bogoliubov-de Gennes model.
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