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We present numerical evidence that in a system of interacting bosons thereexists a correspondence between the spectral properties of the exact quantumHamiltonian and the dynamical chaos of the associated mean field evolution.This correspondence, analogous to the usual quantum-classical correspondence,is related to the formal parallel between the second quantization of the meanfield, which generates the exact dynamics of the quantum $N$-body system, andthe first quantization of classical canonical coordinates. The limit ofinfinite density and the thermodynamic limit are then briefly discussed.Comment: 15 pages RevTeX, 11 postscript figures included with psfig, uuencoded  gz-compressed .tar fil

Spectral properties of quantumN-body systems versus chaotic properties of their mean-field approximations