[2209.14628] Kelvin waves in miscible binary Bose-Einstein condensates

[Submitted on 29 Sep 2022]

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Overview: Based on the analysis of the Bogoloubov-de Genne equation, we study the dispersion of Kelvin waves propagating along single and half-quantum vortices in miscible binary Bose-Einstein condensates. We reveal the non-trivial dependence of the Kelvin wave dispersion relation on the inter-component interaction due to changes in the eddy core size of the eddy components with the help of an interpolating formula connecting the dispersion relations in the low and high wavenumber regimes. . We also find that the Kelvin mode dispersion splits into gapless and gapful branches when both components are superimposed by a single quantized vortex.