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We use a Bogoliubov-de Gennes (BdG) formulation to describe a single vortexin a neutral fermionic gas. It is presumed that the attractive pairinginteraction can be arbitrarily tuned to exhibit a crossover from BCS toBose-Einstein condensation. Our starting point is the BCS-Leggett mean fieldground state for which a BdG approach is microscopically justified. At strongcoupling, we demonstrate that this approach is analytically equivalent to theGross-Pitaevskii description of vortices in true bosonic systems. We analyzethe sizable density depletion found for the unitary regime and relate it to thepresence of unoccupied (positive energy) quasi-bound states at the core center.Comment: 4 pages 3 figure

Ground-state description of a single vortex in an atomic Fermi gas: From BCS to Bose–Einstein condensation