title: Exact solution for infinitely strongly interacting Fermi gases in tight waveguides.
abstract: We present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for an arbitrary confining potential. The eigenfunctions are constructed by the combination of Girardeau's hard-core contacting boundary condition and group theoretical method, which guarantees the obtained states to be simultaneously the eigenstates of S and S_{z} and satisfy antisymmetry under odd permutation. We show that the total ground-state density profile behaves like the polarized noninteracting fermions, whereas the spin-dependent densities display different properties for different spin configurations. We also discuss the splitting of the ground states for large but finite repulsion.
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China.
authors.forename: Liming
authors.initials: L
authors.lastname: Guan
authors.forename: Shu
authors.initials: S
authors.lastname: Chen
authors.forename: Yupeng
authors.initials: Y
authors.lastname: Wang
authors.forename: Zhong-Qi
authors.initials: ZQ
authors.lastname: Ma