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We study numerically and analytically the quench dynamics of isolatedmany-body quantum systems. Using full random matrices from the Gaussianorthogonal ensemble, we obtain analytical expressions for the evolution of thesurvival probability, density imbalance, and out-of-time-ordered correlator.They are compared with numerical results for a one-dimensional disordered modelwith two-body interactions and shown to bound the decay rate of this realisticsystem. Power-law decays are seen at intermediate times and dips below theinfinite time averages (correlation holes) occur at long times for all threequantities when the system exhibits level repulsion. The fact that thesefeatures are shared by both the random matrix and the realistic disorderedmodel indicates that they are generic to nonintegrable interacting quantumsystems out of equilibrium. Assisted by the random matrix analytical results,we propose expressions that describe extremely well the dynamics of therealistic chaotic system at different time scales.

Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator