Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid

We show that in a dilute fermionic superfluid, when the fermions interact with an infinite scattering length, a vortex state is characterized by a strong density depletion along the vortex core. This feature can make a direct visualization of vortices in fermionic superfluids possible.

Figure 1

The density profile of a vortex with the symmetry axis $Oz$ as a function of $k_F\rho$, where $k_F$ is the value of the Fermi wave vector in the homogeneous phase and $n_{\infty }$ is the asymptotic value of the density. The solid line is for parameter set I, while the dashed line is for set II.

Figure 2

The pairing field profile, where ${\Delta }_{\infty }$ is the asymptotic value of the pairing field and the rest of the notations are identical to those in Fig. 1.

Figure 3

The velocity profile in units of the Fermi velocity in the homogeneous phase ${\mathrm{v}}_F=\hslash k_F/m$ and the rest of the notations are identical to those in Fig. 1. The dotted line corresponds to the ideal vortex velocity profile $V_v(\rho )=\hslash /2m\rho$.