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arXiv · 0708.2734

Universal properties of a trapped two-component Fermi gas at unitarity

D. Blume·J. von Stecher·Chris H. Greene
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Abstract

We treat the trapped two-component Fermi system, in which unlike fermions interact through a two-body short-range potential having no bound state but an infinite scattering length. By accurately solving the Schroedinger equation for up to N=6 fermions, we show that no many-body bound states exist other than those bound by the trapping potential, and we demonstrate unique universal properties of the system: Certain excitation frequencies are separated by $2\hbarω$, the wavefunctions agree with analytical predictions and a virial theorem is fulfilled. Further calculations up to N=30 determine the excitation gap, an experimentally accessible universal quantity, and it agrees with recent predictions based on a density functional approach.

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D. Blume, J. von Stecher, Chris H. Greene. 2007-12-20. Universal properties of a trapped two-component Fermi gas at unitarity. https://doi.org/10.1103/physrevlett.99.233201

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