Entanglement production in coupled chaotic systems: Case of the kicked tops

The entanglement production in coupled chaotic systems was analyzed using kicked tops. A phase-space based measure of the complexity of a state and used random matrix theory (RMT) to model the strongly chaotic cases was studied. An approximate formula was derived for the entanglement production in coupled strongly chaotic system. It was shown that this formula complements and extends significantly perturbation theories for strongly chaotic weakly coupled systems.