Restoring integrability in one-dimensional quantum gases by two-particle correlations

We show that thermalization and the breakdown of integrability in the one-dimensional Lieb-Liniger model caused by local three-body elastic interactions is suppressed by pairwise quantum correlations when approaching the strongly correlated regime. If the relative momentum k is small compared to the two-body coupling constant c the three-particle scattering state is suppressed by a factor of (k/c)(12). This demonstrates that in one-dimensional quantum systems it is not the freeze out of two body collisions but the strong quantum correlations which ensures integrability.