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.
