A microscopic study of spin-polarized 6Li atoms in highly elongated traps using the static fluctuation approximation (SFA)

Abstract

The thermodynamic properties of spin-polarized 6Li atoms in highly elongated traps are studied within the Static Fluctuation Approximation. The chemical potential μ, energy per particle U/N, specific heat capacity CV/N, and the effective magnetic field h are determined as a function of temperature and potential strength (magnetic field B). We used the contact potential as the two-body interaction potential. For a repulsive interaction μ and U increase parabolically with B, while for an attractive interaction both increase monotonically with B until saturation at B larger than the resonance field. The effect of the two-body interaction on CV appears at temperatures comparable with the Fermi temperature. μ and U/N of the system were studied of different channels; It is found that these quantities are channel dependent, and the behavior of h at low temperature depends on the potential strength. Our results are consistent with that obtained by the mean-field Bogoliubov–de Gennes method.