Universal long-time behavior of aperiodically driven interacting quantum systems
AbstractUnderstanding the collective dynamics in many-particle systems is of important significance in nonequilibrium physics. In this paper, we systematically study the long-time behavior in stochastically driven interacting quantum systems. We find that even though the stochastic forces will inevitably drive a system into a featureless steady state, the asymptotic behavior to approach the steady state can be highly nontrivial and exhibits rich universal dynamics due to the interplay between the stochastic driving and quantum many-body effects. Special attention is devoted to the effect of the mode-coupling perturbations, which may have important consequence for the long-time dynamics of the stochastically driven quantum many-body systems.