Fermions at unitarity and Haldane Exclusion Statistics

Abstract

We consider a gas of neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate, the variation of the chemical potential and the energy per particle as a function of temperature by assuming the system to be an ideal gas obeying the Haldane-Wu fractional exclusion statistics. Our results for the untrapped gas compare favourably with the recently published Monte Carlo calculations of two groups. For a harmonically trapped gas, the results agree with experiment, and also with other published work.

4 pages, 1 postscript figure

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• 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
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Cited by in corpus (5)

• Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas
• Fermionic ground state at unitarity and Haldane Exclusion Statistics
• The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas