I will talk about our recent work on the superfluid phases of a rotating spin-orbit coupled ultra-cold atomic Fermi gas in a harmonic trap in two dimensions.
We assume that the rotation is introduced adiabatically so that no vortices are excited. Different from the effect of either spin-orbit coupling  or rotation , their simultaneous presence can lead to a ring-shaped density distribution. Using a BCS mean-field approach we have determined the critical velocities for Cooper pair breaking and complete disappearance of the superfluid phase via the Coriolis effect as a result of the interplay between spin-orbit coupling and rotation.
 L. He and X. Huang, "BCS-BEC Crossover in 2D Fermi Gases with Rashba Spin-Orbit Coupling", Phys. Rev. Lett. 108, 145302 (2012)
 I. Bausmerth, A. Recati, and S. Stringari, "Destroying Superfluidity by Rotating a Fermi Gas at Unitarity", Phys. Rev. Lett. 100, 070401 (2008)
 E. Doko, A. L. Subasi, M. Iskin, "Rotating a Rashba-coupled Fermi gas in two dimensions", arXiv:1510.02334