Entanglement production by interaction quenches of quantum chaotic subsystems

TL;DR

This paper provides an analytical and numerical study of entanglement production in quantum chaotic systems after interaction quenches, revealing universal behavior and transition dynamics.

Contribution

It introduces a perturbative and non-perturbative analytical framework for entanglement evolution in quantum chaotic subsystems, validated by numerical simulations.

Findings

Universal rescaled entanglement growth curves.

Good agreement between analytical predictions and numerical results.

Identification of transition and saturation behaviors in entanglement dynamics.

Abstract

The entanglement production in bipartite quantum systems is studied for initially unentangled product eigenstates of the subsystems, which are assumed to be quantum chaotic. Based on a perturbative computation of the Schmidt eigenvalues of the reduced density matrix, explicit expressions for the time-dependence of entanglement entropies, including the von Neumann entropy, are given. An appropriate re-scaling of time and the entropies by their saturation values leads a universal curve, independent of the interaction. The extension to the non-perturbative regime is performed using a recursively embedded perturbation theory to produce the full transition and the saturation values. The analytical results are found to be in good agreement with numerical results for random matrix computations and a dynamical system given by a pair of coupled kicked rotors.