Quantum chaos and thermalization for interacting particles (Q2760020)

After a brief introduction to standard techniques of random matrix theory in the context of quantum chaos, special attention is paid to two-body random interaction matrices. The focus is on the transition to chaos and equilibrium, while varying the interaction strength for an isolated system with a finite number of interacting particles. The goal of the presented approach is a direct relation between the average shape of exact (chaotic) eigenstates \((F\)-function) and the distribution \(N_s\) of occupation numbers of single-particle energy levels. Because the \(F\)-function embodies all statistical effects of the interaction between particles and determines the form of \(N_s\)-distribution, the eigenstates may not be known exactly. It is the structure of chaotic eigenstates and its dependence on model parameters, which remains the central issue to be settled.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00065].