Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover

Abstract

Using numerical simulation based-on a density-functional equation for a trapped Fermi-super-fluid valid along the BCS-unitarity crossover, we establish robust scaling over many orders of magnitude in the observables of the system as a function of fermion number. This scaling allows to-predict the static properties of the system, such as energy, chemical-potential, etc., for a large number of fermions over the crossover, from the knowledge of those for a small number (similar to 4-10) of fermions.[GRAPHICS]Energy (E) and chemical potential (mu) of a trapped Fermi superfluid as a function of number N of atorns(C) 2009 by Astro Ltd. Published exclusively by WILEY-VCH Verlag GmbH & Co. KGaA