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

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

2009-04-10

arxiv.org/abs/0904.1718v1

Phys. Rev. A 79, 061603(R) (2009)

Physics

Quantum Physics

revtex4, 4 pages, 1 figure (PDF)

Scientific paper

10.1103/PhysRevA.79.061603

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 two body collisions but the strong quantum correlations which ensures integrability.

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