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

## TL;DR

This paper investigates the universal dynamical features of quenched many-body quantum systems, revealing that certain decay behaviors and correlation phenomena are common to both random matrix models and realistic disordered systems.

## Contribution

It provides analytical expressions for key dynamical quantities and demonstrates their applicability to realistic disordered models, highlighting universal features of nonintegrable quantum systems.

## Key findings

- Power-law decay at intermediate times
- Presence of correlation holes at long times
- Shared dynamical features between random matrices and disordered models

## Abstract

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