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We study the evolution of a system of interacting ultracold bosons, whichpresents nonlinear, chaotic, behaviors in the limit of very large number ofparticles. Using the spectral entropy as an indicator of chaos and threedifferent numerical approaches : Exact diagonalization, truncated Husimi methodand mean-field (Gross-Pitaevskii) approximation, we put into evidence thedestructive impact of quantum noise on the emergence of the nonlinear dynamics.

Emergence of nonlinear behavior in the dynamics of ultracold bosons