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

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

2008-12-23

arxiv.org/abs/0812.4385v1

Phys. Rev. A 79 (2009) 023611 (pp1-5)

Physics

Condensed Matter

Other Condensed Matter

6 pages

Scientific paper

10.1103/PhysRevA.79.023611

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.

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