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

@article{Mazets2009RestoringII,
  title={Restoring integrability in one-dimensional quantum gases by two-particle correlations},
  author={Igor E. Mazets and J{\"o}rg Schmiedmayer},
  journal={Physical Review A},
  year={2009},
  volume={79},
  pages={061603}
}
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… 

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