Rotating Dipolar Bose-Einstein Condensates in Tilted Reference Frames

Rotating Bose-Einstein condensates (BECs) have long been of considerable interest, especially in the context of the study of quantum vortices and quantum turbulence. For species with large dipole moments, there is also the possibility of effectively tuning the time-averaged dipolar interaction through rapidly rotating the dipole polarization. To date, most investigations have assumed that the rotation axis is parallel to one of the condensate's principal axes. In this talk, we present our recent theoretical investigation of a harmonically trapped dipolar BEC with its rotating dipole moments tilted arbitrarily about the rotation axis. We show that the co-rotating Thomas-Fermi (TF) stationary state density is tilted nontrivially about the trap as well as both the polarization and rotation axes at finite rotation frequencies. These stationary states also agree with those obtained by time-averaging the dipolar interaction at rapid rotation frequencies. However, we find that the TF state is dynamically unstable in this regime, which may explain deviations from the time-averaged theory in recent experiments (Tang, et al., 2019) and also raise the possibility of detecting novel vortex lattice phases in dipolar BECs.