Fermionic ground state at unitarity and Haldane Exclusion Statistics

Details Fermionic ground state at unitarity and Haldane Exclusion Statistics Fermionic ground state at unitarity and Haldane Exclusion Statistics

2008-03-08

arxiv.org/abs/0803.1215v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures

Scientific paper

10.1088/0953-4075/41/11/115301

We consider a few-particle system of trapped neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate the energies and the spatial densities of the few-body systems using a generalisation of the extended Thomas-Fermi (ETF) method, and assuming the particles obey the Haldane-Wu fractional exclusion statistics (FES) at unitarity. This method is different from the scaled ETF version given by Chang and Bertsch (Phys. Rev. A76,021603(R) (2007)). Our semiclassical FES results are consistent with the Monte-Carlo calculations of the above authors, but can hardly be distinguished from their over all scaling of the ETF result at unitarity.

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