Vortices in quantum droplets of heteronuclear Bose mixtures

We have theoretically investigated the structure of spinning self-bound droplets made a $^{41}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ Bose mixture by solving Gross-Pitaevskii equation including beyond-mean-field correction in Lee-Huang-Yang form. The and energetics vortex formation been elucidated, showing that linear vortices heavier species is energetically favored over other configurations. A fake (partially filled) core develops as consequence species, resulting hole which might be imaged experiments. computed minimal size $^{41}\mathrm{K}\ensuremath{-}^{87}\mathrm{Rb}$ can host stable lines their interior, important information for experiments aimed at observation such systems. different role quantized capillary waves, are two ways angular momentum stored swirling superfluid, addressed detail computing relation between rotational frequency. results show intriguing similarities with case prototypical i.e., $^{4}\mathrm{He}$ when set into rotation. two-branches curve stability diagram, qualitatively similar to one expected classical (incompressible viscous) rotating liquid droplets, obtained present while prolate (i.e., nonaxisymmetric) shapes only permitted vortex-free droplets.