Figure 5

These are Poincare maps for Γ = 0.05 at two relatively large β values. As shown in Fig. (2), the classical behavior is regular at Γ = 0.05. Here the simple classical regular behavior persists for relatively large β values, as demonstrated in the Poincare map for β = 0.12, where λ < 0. As β is increased, a quantum chaotic attractor emerges, as demonstrated in the Poincare map for β = 0.25, where λ > 0. Not only is the system transitioning from classically regular to quantum chaotic behavior, as was the case in Fig. (3) and in Fig. (4), but also the quantum chaotic attractor is entirely unlike the typical Duffing classical attractor.