Coreless vortex dipoles and trapped droplets in phase-separated binary condensates

Vortex dipoles are generated when an obstacle moves through a superfluid above a critical speed. In the case of phase-separated binary condensates, with appropriate interaction parameters in pancake-shaped traps, we show that coreless vortex dipoles are created when a Gaussian obstacle beam traverses across them above a critical speed. As the obstacle passes through the inner component, it carries along a droplet of the outer component. Using the Thomas-Fermi approximation, we show that phase-separated binary condensates can either support vortices with empty or filled cores.