Fermionic ground state at unitarity and Haldane Exclusion Statistics
arXiv:0803.1215 · doi:10.1088/0953-4075/41/11/115301
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
References in corpus (6)
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Observation of Bose-Einstein Condensation of Molecules
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Unitary Fermi Gas in a Harmonic Trap
- Temperature of a trapped unitary Fermi gas at finite entropy
- Density-functional theory for fermions in the unitary regime