All quantities shown in Fig. (right) are non-zero, even though quantum calculations show that the correlations between ϕ and all bath modes are zero. This is due to the fact that the initial wave packet is symmetric with respect to ϕ = 0 as well as the Hamiltonian, thus producing a wavepacket that remains symmetric during the propagation. We expect that in the limit of infinite number of classical trajectories to reproduce the distribution along ϕ = 0, the quantum-classical correlations involving ϕ would tend to zero as well.