Super-shell structures and pairing in ultracold trapped Fermi gases
arXiv:0704.0385 · doi:10.1103/PhysRevA.76.021601
Abstract
We calculate level densities and pairing gaps for an ultracold dilute gas of fermionic atoms in harmonic traps under the influence of mean field and anharmonic quartic trap potentials. Super-shell structures, which were found in Hartree-Fock calculations, are calculated analytically within periodic orbit theory as well as from WKB calculations. For attractive interactions, the underlying level densities are crucial for pairing and super-shell structures in gaps are predicted.
4 pages, 2 figures.
References in corpus (6)
- Cooper pairing and single particle properties of trapped Fermi gases
- Some exact results for a trapped quantum gas at finite temperature
- Shell structure and pairing for interacting fermions in a trap
- Pairing of fermions in atomic traps and nuclei
- Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking
- Supershell structure in trapped dilute Fermi gases