Scientific Report - BEC

Rotating quantum gases 34nrn 0 S010.80.60.40.2RSR010.750.50.2500.25 0.5 0.75 1Ω ⊥00.2 0.4 0.6 0.8 1rR 0Figure 1: Density profile in the rotating plane for a Fermigas rotating at Ω = 0.45ω ⊥ (full line). The density jumpbetween the superflud (red line) and the normal state (blueline) is evident. The profile in the absence of rotation is alsoshown (dashed line). Inset: Superfluid radius versus Ω/ω ⊥ .superfluid is in equilibrium with a polarized normal gas.In a more recent paper [6] we have studied the consequences of the rotation on thephase separation of a polarized Fermi gas. The main result in this case is that theweight of the normal phase is favoured with respect to the non rotating configuration.Furthermore the jump in the densities is not constant on the interface, but dependson both the value of the total polarization and on the angular velocity. A furtherinteresting feature emerging from these calculation is the occurrrence of a spontaneousbreaking of isotropic symmetry in the rotating plane. This effect, already known in thecase of rotating BEC’s [1] exhibits different features in the case of the rotating Fermigas due to the new role played by the interface between the superfluid and the normalcomponent.Dynamics of a Fermi superfluid with a vortex latticeIn [7] we have focused on the dynamical behavior of the system in the presence ofvortical configurations, when the rotation gives rise to a triangular vortex lattice. At amacroscopic level, the system can be described by the equations of rotational hydrodynamics.This is the diffused vorticity approximation, which is valid provided the typicallength scales of the considered dynamics are significantly larger than the intervortexspacing. In this framework, we have studied the breathing modes of a rotating Fermigas close to the unitary regime. These oscillations are sensitive to both the equation of