The vortex state in the BEC to BCS crossover: a path-integral description

Abstract

We derive a path-integral description of the vortex state of a fermionic superfluid in the crossover region between the molecular condensate (BEC) regime and the Cooper pairing (BCS) regime. This path-integral formalism, supplemented by a suitable choice for the saddle point value of the pairing field in the presence of a vortex, offers a unified description that encompasses both the BEC and BCS limits. The vortex core size is studied as a function of the tunable interaction strength between the fermionic atoms. We find that in the BEC regime, the core size is determined by the molecular healing length, whereas in the BCS regime, the core size is proportional only to the Fermi wave length. The observation of such quantized vortices in dilute Fermi gases would provide an unambiguous proof of the realization of superfluidity in these gases.

10 pages, 2 figures

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Cited by in corpus (10)

• Ground State Description of a Single Vortex in an Atomic Fermi gas: From BCS to Bose-Einstein Condensation
• Imbalanced d-wave superfluids in the BCS-BEC crossover regime at finite temperatures
• Density fingerprint of giant vortices in Fermi gases near a Feshbach resonance
• Collective modes of Fermi superfluid containing vortices along the BEC-BCS crossover
• Vortex Properties of a Resonant Superfluid
• Critical currents in the BEC/BCS crossover regime
• Formation of local and global currents in a toroidal Bose--Einstein condensate via an inhomogeneous artificial gauge field
• Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
• Generation of vortex dipoles in superfluid Fermi gas in BCS limit
• When are two fermions a simple boson? New Gross-Pitaevskii actions for cold Fermi condensates