Survival probability and saturation energy in periodically driven quantum chaotic systems

We study characteristics of the steady state of a random-matrix model with periodical pumping, where the energy increase saturates by quantum localization. We study the dynamics by making use of the survival probability. We found that Floquet eigenstates are separated into the localized and extended states, and the former governs the dynamics.

► We study the steady state of a random-matrix model with periodical pumping.
► We study the saturated energy using the survival probability.
► Floquet eigenstates are separated into the localized and extended states.
► The former eigenstates govern the dynamics.