Phases and dynamics of dipolar Bose-Einstein condensates in a rotating magnetic field

We unravel the static properties and the quench dynamics of dipolar Bose-Einstein condensates of Dysprosium atoms under the influence of a rotating external magnetic field. Relying on an extended Gross-Pitaevskii framework in 3D, we account for quantum fluctuations to the leading order and obtain the underlying phase diagram with respect to atom number and strength of contact interaction for various field orientations. For smaller values of contact interaction, a transition from a superfluid to a supersolid and then to a single or multiple dipolar droplets is captured, with the latter characterized by a non-vanishing global phase coherence. At orientation larger than the magic angle, the superfluid character dominates. These

phases occur both in quasi-1D and quasi-2D regimes, while their existence is further verified through a variational approach. Upon considering interaction quenches across the aforementioned phase transitions, we find the dynamical generation of supersolids or an array of isolated droplets. The inclusion of three-body losses leads to self-evaporation of supersolids in the long-time dynamics.