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arXiv · 0904.1718

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

I. E. Mazets·J. Schmiedmayer
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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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I. E. Mazets, J. Schmiedmayer. 2009-04-10. Restoring integrability in one-dimensional quantum gases by two-particle correlations. https://doi.org/10.1103/physreva.79.061603

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