Vortex arrays in neutral trapped Fermi gases throughout the BCS-BEC crossover

Abstract

Vortex arrays in type-II superconductors admit the translational symmetry of an infinite system. There are cases, however, like ultra-cold trapped Fermi gases and the crust of neutron stars, where finite-size effects make it quite more complex to account for the geometrical arrangement of vortices. Here, we self-consistently generate these arrays of vortices at zero and finite temperature through a microscopic description of the non-homogeneous superfluid based on a differential equation for the local order parameter, obtained by coarse graining the Bogoliubov-de Gennes (BdG) equations. In this way, the strength of the inter-particle interaction is varied along the BCS-BEC crossover, from largely overlapping Cooper pairs in the BCS limit to dilute composite bosons in the BEC limit. Detailed comparison with two landmark experiments on ultra-cold Fermi gases, aimed at revealing the presence of the superfluid phase, brings out several features that makes them relevant for other systems in nature as well.

Final author version

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• In situ imaging of vortices in Bose-Einstein condensates
• Vortex-nucleus interaction in the inner crust of neutron stars
• Microscopic Structure of a Vortex Line in a Superfluid Fermi Gas
• Pair-Breaking in Rotating Fermi Gases

Cited by in corpus (14)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Rotating quantum turbulence in the unitary Fermi gas
• Josephson effect at finite temperature along the BCS-BEC crossover
• Collective modes of a soliton train in a Fermi superfluid
• Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity
• Finite temperature vortices in a rotating Fermi gas
• Diversified vortex phase diagram for a rotating trapped two-band Fermi gas in the BCS-BEC crossover
• Verification of an analytic fit for the vortex core profile in superfluid Fermi gases
• Non-local equation for the superconducting gap parameter
• Corrections to Local Density Approximation for superfluid trapped fermionic atoms from the Wigner-Kirkwood $\hslash$ expansion
• Reliability of the Ginzburg-Landau Theory in the BCS-BEC Crossover by Including Gaussian Fluctuations for 3D Attractive Fermions
• Vortices in Fermi gases with spin-dependent rotation potentials
• Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
• Vortex lattice in spin-imbalanced unitary Fermi gas