title: Universal properties of a trapped two-component fermi gas at unitarity.
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 Schrödinger 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 2variant Planck's over 2piomega, the wave functions 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.
authors.affiliation: Department of Physics and JILA, University of Colorado, Boulder, Colorado 80309-0440, USA.
authors.forename: D
authors.initials: D
authors.lastname: Blume
authors.forename: J
authors.initials: J
authors.lastname: von Stecher
authors.forename: Chris H
authors.initials: CH
authors.lastname: Greene