Mean-field predictions for a dipolar Bose-Einstein condensate with ¹⁶⁴Dy

Dipolar Bose-Einstein condensates are systems well-suited for the investigation of effects caused by the non-local, anisotropic, long-range dipole-dipole interaction. We study properties which are directly connected to the experimental realization of a condensate with ¹⁶⁴Dy, such as stability and phase diagrams. Additionaly, we study the expansion of dipolar condensates, and find signatures of the dipole-dipole interaction in terms of structured states, and a deviation from the well-known inversion of the aspect ratio of the cloud during time of flight. We use physical parameters which are close to those possible in experimental set-ups. Our analysis is based on the extended Gross-Pitaevskii equation, which we solve numerically exact on a three-dimemsional grid by means of imaginary- and real-time evolution, using the CUDA architecture. Work done in collaboration with Damir Zajec.