Three-body correlation functions and recombination rates for bosons in   three and one dimensions
  We investigate local three-body correlations for bosonic particles in three and one dimensions 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. 
Elmar Haller, Mohamed Rabie, Manfred J. Mark, Johann G. Danzl, Russell   Hart, Katharina Lauber, Guido Pupillo, Hanns-Christ...
cond-mat.quant-gas