Quantum chaos in many-body systems: what can we learn from the Ce atom?

Results of an extensive study of a real quantum chaotic many-body system - the Ce atom - are presented. We discuss the origins of the quantum chaotic behaviour of the system, analyse statistical and dynamical properties of th e multi-particle chaotic eigenstates and consider matrix elements or transi tion amplitudes between them. We show that based on the universal propertie s of the chaotic eigenstates a statistical theory of finite few-particle sy stems with strong interaction can be developed. We also discuss such import ant physical effects as enhancement of weak perturbations in many-body quan tum chaotic systems, distribution of single-particle occupation numbers and its deviations from the standard Fermi-Dirac shape, and ways of introducin g statistical temperature-based description in such systems. (C) 1999 Elsev ier Science B.V. All rights reserved.