2007/08/31 by D. Blume, J. von Stecher, Chris H. Greene · 114 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Component (thermodynamics) #Fermi Gamma-ray Space Telescope #Fermi gas #Fermion #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Scattering length #Schrödinger equation #Trapping #Unitarity #Virial theorem #Wave function #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.99.233201
published in Physical Review Letters 99(23), 233201 (American Physical Society) · 4 pages, 2 Figs., 2 Tables (minor changes)
openalex publication_date 2007/12/06 · arxiv created 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.