Superfluid transition in a rotating resonantly-interacting Fermi gas
  We study a rotating atomic Fermi gas near a narrow s-wave Feshbach resonance in a uniaxial harmonic trap with frequencies $\Omega_\perp$, $\Omega_z$. Our primary prediction is the upper-critical angular velocity, $\omega_{c2} (\delta,T)$, as a function of temperature $T$ and resonance detuning $\delta$, ranging across the BEC-BCS crossover. The rotation-driven suppression of superfluidity at $\omega_{c2}$ is quite distinct in the BCS and BEC regimes, with the former controlled by Cooper-pair depairing and the latter by the dilution of bosonic molecules. At low $T$ and $\Omega_z\ll\Omega_\perp$, in the BCS and crossover regimes of $0 \lesssim \delta \lesssim \delta_c$, $\omega_{c2}$ is implicitly given by $\hbar \sqrt{\omega_{c2}^2 +\Omega_\perp^2}\approx 2\Delta \sqrt{\hbar \Omega_\perp/\epsilon_F}$, vanishing as $\omega_{c2} \sim\Omega_\perp(1-\delta/\delta_c)^{1/2}$ near $\delta_c\approx 2\epsilon_{F} + \frac\gamma 2\epsilon_{F} \ln(\epsilon_F/\hbar\Omega_\perp)$ (with $\Delta$ the BCS gap and $\gamma$ resonance width), and extending bulk result $\hbar\omega_{c2} \approx 2\Delta^2/\epsilon_{F}$ to a finite number of atoms in a trap. In the BEC regime of $\delta < 0$ we find $\omega_{c2} \to\Omega^-_\perp$, where molecular superfluidity can only be destroyed by large quantum fluctuations associated with comparable boson and vortex densities. 
Martin Y. Veillette, Daniel E. Sheehy, Leo Radzihovsky and Victor   Gurarie (University Of Colorado)