Mean-field predictions for a dipolar Bose-Einstein condensate with $^{164}$Dy

We study dipolar Bose-Einstein condensates for a realistic set of parameters close to actual experimental setups with dysprosium. Our analysis is based on the extended Gross-Pitaevskii equation, which we solve numerically exact on a three-dimensional grid. We present stability and phase diagrams, and study the expansion dynamics of dipolar condensates. Our calculations show signatures of the dipole-dipole interaction in terms of structured states and a deviation of the well-known inversion of the aspect ratio of the cloud during a time of flight.