Instabilities of a Filled Vortex in a Two-Component Bose-Einstein Condensate

Abstract

A two-component Bose-Einstein condensate of cold atoms with a strong intercomponent repulsion leading to the spatial separation of the components has been numerically studied. Configurations with a multiple quantized vortex in one component, where the vortex core is filled with the other component, are considered. The effective radius of the core can exceed the width of the transition layer between components, and then an analogy with a filled cylindrical vortex in the classical hydrodynamics of two immiscible ideal fluids appears. This analogy allows one to analyze the longitudinal "sausage" instability and the transverse instability of the filled vortex in the condensate caused by the "tangential discontinuity," as well as the stable regime in the parametric gap between them. The presence of long-lived coherent structures formed in some cases at the nonlinear stages of both instabilities is numerically discovered.

5 pages, 18 figures, in English, to appear as JETP Lett. 113(8), 532 (2021)

References in corpus (4)

• Interface Tension of Bose-Einstein Condensates
• Vortex sheet in rotating two-component Bose-Einstein condensates
• Bending-wave Instability of a Vortex Ring in a Trapped Bose-Einstein Condensate
• Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates

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• Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
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• Suppression of the superfluid Kelvin-Helmholtz instability due to massive vortex cores, friction and confinement
• Capillary Flotation in a System of Two Immiscible Bose-Einstein Condensates
• "Capillary'' structures in transversely trapped nonlinear optical beams
• Nonuniformly Filled Vortex Rings in Nonlinear Optics
• An Optical Analog for a Rotating Binary Bose-Einstein Condensate
• Stabilization of Optical Bubbles Near the Axis of a Helical Waveguide
• (In)stability of symbiotic vortex-bright soliton in holographic immiscible binary superfluids
• Kelvin wave in miscible two-component Bose-Einstein condensates
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate