Ground-state properties of one-dimensional anyon gases

We investigate the ground state of the one-dimensional interacting anyonic system based on the exact Bethe ansatz solution for arbitrary coupling constant (0 <= c <= infinity) and statistics parameter (0 <= K <= pi). It is shown that the density of state in quasimomentum k space and the ground-state energy are determined by the renormalized coupling constant c '. The effect induced by the statistics parameter K exhibits in the momentum distribution in two aspects: Besides the effect of renormalized coupling, the anyonic statistics results in the nonsymmetric momentum distribution when the statistics parameter K deviates from 0 (Bose statistics) and pi (Fermi statistics) for any coupling constant c. The momentum distribution evolves from a Bose distribution to a Fermi one as K varies from 0 to pi. The asymmetric momentum distribution comes from the contribution of the imaginary part of the nondiagonal element of reduced density matrix, which is an odd function of K. The peak at positive momentum will shift to negative momentum if k is negative.