Semiclassical roots of universality in many-body quantum chaos

Quantum chaos of many-body (MB) systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to condensed matter to quantum information and to cosmology. In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between classically chaotic dynamics and corresponding universal features at the quantum level. Recently, single-particle (SP) techniques dealing with ergodic wave interference in the usual semiclassical limit PLANCK CONSTANT OVER TWO PI & RARR;0 N-particle systems in the analogous semiclassical limit PLANCK CONSTANT OVER TWO PIeff=1/N & RARR;0