  We numerically investigated the entanglement product in the simplest coupled
kicked top model with the spin $j=1$. Different from the dynamical pattern of
entanglement in the semiclassical regime, two similar initial states may have
discordant entanglement oscillations. A candidate of the quantum signature of
this classical chaotic system was proposed. The potential antimonotonic
relation between the rank correlation coefficient qualifying the concordant of
two entanglement evolutions and the stationary entanglement was preliminarily
revealed.

Quantum Physics;Chaotic Dynamics;Atomic and Molecular Clusters