Quantum breaking time scaling in superdiffusive dynamics - art. no. 047203

We show that the breaking time of quantum-classical correspondence depends on the type of kinetics and the dominant origin of stickiness. For Sticky d ynamics of quantum kicked rotor, when the hierarchical set of islands corre sponds to the accelerator mode, we demonstrate by simulation that the break ing time scales as tau(h) over bar similar to (1/(h) over bar)(1/mu) with t he transport exponent mu >1 that corresponds to superdiffusive dynamics [B. Sundaram and G. M. Zaslavsky, Phys. Rev. E 59, 7231 (1999)]. We discuss al so other possibilities for the breaking time scaling and transition to the logarithmic one tau(h) over bar similar to 1n(1/(h) over bar) with respect to (h) over bar.