Entanglement dynamics and classical complexity

TL;DR

This paper establishes a link between quantum entanglement growth in a two-body system and classical dynamical complexity, showing that the entanglement rate equals the Kolmogorov-Sinai entropy in the quasiclassical regime.

Contribution

It analytically connects entanglement growth rate with classical chaos measures, specifically the Kolmogorov-Sinai entropy, in a two-body interacting system.

Findings

Entanglement growth rate equals Kolmogorov-Sinai entropy in the quasiclassical regime.

Numerical simulations on coupled rotators support the analytical results.

Classical complexity influences quantum entanglement dynamics.

Abstract

We study the dynamical generation of entanglement for a two-body interacting system, starting from a separable coherent state. We show analytically that in the quasiclassical regime the entanglement growth rate can be simply computed by means of the underlying classical dynamics. Furthermore, this rate is given by the Kolmogorov-Sinai entropy, which characterizes dynamical complexity of classical motion. Our results, illustrated by numerical simulations on a model of coupled rotators, establish in the quasiclassical regime a link between the generation of entanglement, a purely quantum phenomenon, and classical complexity.