Fermionic ground state at unitarity and Haldane Exclusion Statistics

Abstract

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.

4 pages, 3 figures

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Cited by in corpus (8)

• Few-body physics with ultracold atomic and molecular systems in traps
• Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas
• Surface Effects in the Unitary Fermi Gas
• The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Finite temperature analytical results for a harmonically confined gas obeying exclusion statistics in $d$-dimensions
• Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
• Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions