Bose-Einstein condensation : a transition to chaos result

Within a stochastic approach to Bose-Einstein Condensation we point out some probabilistic counterparts of the relevant analytical results due to Lieb, Yngvason and Seiringer about the behaviour of the quantum N-body ground state energy under the so called Gross-Pitaevskii scaling limit. In particular we focus our attention on a transition to chaos result for the rigorously associated interacting N-particles syste