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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Cited by in corpus (9)

• Basics of Bose-Einstein Condensation
• Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions
• Thermalization in a quasi-1D ultracold bosonic gas
• Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench
• Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
• Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
• Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases
• Analytic thermodynamic properties of the Lieb-Liniger gas
• One-dimensional atomic superfluids as a model system for quantum thermodynamics