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

Physics – Condensed Matter – Quantum Gases

Scientific paper

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4 pages, 4 figures, Contribution to the 18th International Laser Physics Workshop, Barcelona, Spain, July 13 - 17, 2009

Scientific paper

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 ($\sim 4-10$) of fermions.

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