Verification of an analytic fit for the vortex core profile in superfluid Fermi gases

Abstract

A characteristic property of superfluidity and -conductivity is the presence of quantized vortices in rotating systems. To study the BEC-BCS crossover the two most common methods are the Bogoliubov-De Gennes theory and the usage of an effective field theory. In order to simplify the calculations for one vortex, it is often assumed that the hyperbolic tangent yields a good approximation for the vortex structure. The combination of a variational vortex structure, together with cylindrical symmetry yields analytic (or numerically simple) expressions. The focus of this article is to investigate to what extent this analytic fit truly reflects the vortex structure throughout the BEC-BCS crossover at finite temperatures. The vortex structure will be determined using the effective field theory presented in [Eur. Phys. Journal B 88, 122 (2015)] and compared to the variational analytic solution. By doing this it is possible to see where these two structures agree, and where they differ. This comparison results in a range of applicability where the hyperbolic tangent will be a good fit for the vortex structure.

14 pages, 7 figures

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Vortex arrays in neutral trapped Fermi gases throughout the BCS-BEC crossover
• Vortex formation in a rotating two-component Fermi gas
• Pair density waves and vortices in an elongated two-component Fermi gas
• Extension of the Ginzburg - Landau approach for ultracold Fermi gases below a critical temperature

Cited by in corpus (4)

• Crossover between snake instability and Josephson instability of dark solitons in superfluid Fermi gases
• Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover
• Vortices in Fermi gases with spin-dependent rotation potentials
• Vortex Mass in Superfluid Fermi Gases along the BEC-BCS Crossover