Phase Space Entropy and Global Phase Space Structures of (Chaotic) Quantum Systems

A quantum phase space entropy is defined, which directly reflects the global dynamical properties of the system similar to the synoptic view of several classical trajectories in a Poincaré section. The quantum results allow a direct comparison with a corresponding purely classical entropy. Numerical results for a periodically driven rotor illustrate the usefulness of phase space entropies for systems with mixed chaotic and regular dynamics.