The momentum distribution of one dimensional strongly repulsive Bose gas at large momenta

Abstract

The physics of ultracold Bose gases is a rapidly developing field due to the recent remarkable achievement in the experiment and intensive theoretical investigations. However, when understanding quantum correlations, the calculation of correlation functions of such many-body systems always imposes a big challenge. In this communication, we analytically calculate the momentum distribution of the one-dimensional Bose gas at high momenta through the Fourier transform of the single-particle density matrix. Using the Bethe ansatz wave function of the one-dimensional strongly interacting bosons at the ground state, we find that asymptotic behavior of the momentum distribution for large values of momenta obeys the universal power law C/p4 decay, where the Tan's contact C can be given explicitly in terms of the generalized exclusion statistics parameter.