Unitary polarized Fermi gas under adiabatic rotation

TL;DR

This paper investigates how adiabatic rotation influences phase separation and density profiles in a polarized Fermi gas at unitarity, revealing enhanced polarization limits and deformation thresholds.

Contribution

It introduces a detailed analysis of the effects of adiabatic rotation on phase separation and density profiles in polarized Fermi gases at unitarity, without vortex formation.

Findings

Rotation enhances the Chandrasekhar-Clogston limit for polarization.

Density profiles depend on angular velocity and polarization.

Critical angular velocity induces superfluid quadrupole deformation.

Abstract

We discuss the effect of an adiabatic rotation on the phase separation between the superfluid and normal component of a trapped polarized Fermi gas at unitarity and zero temperature, under the assumption that quantized vortices are not formed. We show that the Chandrasekhar-Clogston limit $n_{\downarrow}/\n_{\uparrow}$ characterizing the local polarization in the normal phase at the interface is enhanced by the rotation as a consequence of the centrifugal effect. The density profiles (local and column integral) of the two spin species are calculated as a function of the angular velocity for different values of the polarization. The critical value of the angular velocity at which the superfluid exhibits a spontaneous quadrupole deformation is also calculated for the unpolarized case.