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We use the Bogoliubov-de Gennes formalism to analyze the effects of rotationon the ground state phases of harmonically trapped Fermi gases, under theassumption that quantized vortices are not excited. We find that the rotationbreaks Cooper pairs that are located near the trap edge, and that this leads toa phase separation between the nonrotating superfluid (fully paired) atomslocated around the trap center and the rigidly rotating normal (nonpaired)atoms located towards the trap edge, with a coexistence (partially paired)region in between. Furthermore, we show that the superfluid phase that occursin the coexistence region is characterized by a gapless excitation spectrum,and that it is distinct from the gapped phase that occurs near the trap center.

Rotation induced superfluid-normal phase separation in trapped Fermi gases