Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover

Abstract

From an extensive calculation of static properties of a trapped Fermi superfluid at zero temperature using a density-functional formulation, we demonstrate a universal behavior of its observables, such as energy, chemical potential, radius etc., over the crossover from the BCS limit to unitarity leading to scaling over many orders of magnitude in fermion number. This scaling allows to predict the static properties of the system, with a large number ($\sim 10^5$) of fermions, over the crossover with an error of 1-2%, from the knowledge of those for a small number ($\sim 10$) of fermions.

arXiv comment6 pages

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Cited by in corpus (11)

• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover
• Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover
• Localization of a Bose-Fermi mixture in a bichromatic optical lattice
• Trapped unitary two-component Fermi gases with up to ten particles
• BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
• The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
• A new effective interaction for the trapped fermi gas: the BEC-BCS crossover
• Position swapping and pinching in Bose-Fermi mixtures with two-color optical Feshbach resonances
• Crow instability in unitary Fermi gas
• Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions