Luca D'Alessio

TL;DR: The eigenstate thermalization hypothesis (ETH) as discussed by the authors is a natural extension of quantum chaos and random matrix theory (RMT) that allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath.

TL;DR: The eigenstate thermalization hypothesis (ETH) as mentioned in this paper is a natural extension of quantum chaos and random matrix theory (RMT) and it allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath.

TL;DR: In this article, a general overview of the high-frequency regime in periodically driven systems and three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian are identified.

TL;DR: In this paper, the authors studied driven interacting quantum systems and found that a lattice model displays three different regimes as a function of the driving period, and that the periodic input of energy into systems can have profound effects.

TL;DR: In this article, the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches using full exact diagonalization of finite chains are studied and three distinct regimes for short driving periods, the Floquet Hamiltonian is well approximated by the time-averaged Hamiltonian, while for long periods the evolution operator exhibits properties of random matrices of a Circular Ensemble (CE).