We demonstrate this observation in Fig. by reporting measures of correlation between ϕ, q and x 1 , x 2 calculated in the quantum dynamics simulations (left) and in the quantum-classical simulations (right), distinguishing CT-TSH (upper panel) and TSH-ED (lower panel) results. For instance, for the degrees of freedom ϕ and x 1 , such a measure is estimated as Corr(ϕ, x 1 ) = ϕ • x 1 -ϕ • x 1 in the quantum case and as Corr(ϕ, x 1 ) = ϕ qc (t)x qc 1 (t) -(ϕx 1 ) qc (t) in the quantum-classical case. Each term with superscript qc is evaluated as an average over the trajectories as given in Eq. .