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

Abstract

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.

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References in corpus (1)

• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas