Three-body correlation functions and recombination rates for bosons in three dimensions and one dimension

Haller, E. and Rabie, M. and Mark, M. J. and Danzl, J. G. and Hart, R. and Lauber, K. and Pupillo, G. and Naegerl, H. -C. (2011) Three-body correlation functions and recombination rates for bosons in three dimensions and one dimension. Physical Review Letters, 107 (23). ISSN 0031-9007

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Abstract

We investigate local three-body correlations for bosonic particles in three dimensions and one dimension as a function of the interaction strength. The three-body correlation function g((3)) is determined by measuring the three-body recombination rate in an ultracold gas of Cs atoms. In three dimensions, we measure the dependence of g((3)) on the gas parameter in a BEC, finding good agreement with the theoretical prediction accounting for beyond-mean-field effects. In one dimension, we observe a reduction of g((3)) by several orders of magnitude upon increasing interactions from the weakly interacting BEC to the strongly interacting Tonks-Girardeau regime, in good agreement with predictions from the Lieb-Liniger model for all strengths of interaction.