Understanding many-body physics in one dimension from the Lieb–Liniger model*
Jiang Yu-Zhua),b), Chen Yang-Yanga),b), Guan Xi-Wena),b)†
       
Quasi-momenta for the ground state of the Lieb–Liniger gas with the strong repulsion and the supper Tonks–Girardeau gas of the attractive Bose gas for a large value of γ . It is obvious that the super Tons–Girardeau gas has a larger kinetic energy than the free Fermion momentum. Thus the quantum statistics of the super Tonks–Girardeau gas is more exclusive than the free fermion statistics.