Signatures of chaos in the entanglement of two coupled quantum kicked tops.

Abstract

We investigate the rate at which two initially decoupled quantum kicked tops become entangled upon the introduction of an interaction between them. We find that the entanglement eventually increases linearly in time. Moreover, we find that the rate of this linear increase is itself a linear function of the sum of the positive Lyapunov exponents when averaged over initial points drawn from the classical distributions corresponding to the initial quantum product state. The entanglement measure that is used allows us to identify entanglement with sensitive dependence on initial conditions.