Field theory of Anderson transition of the kicked rotor

We present a microscopic theory of Anderson transition in the quantum kicked rotor. The behavior of the system is shown to depend sensitively on the value of the effective Planck constant, (h) over tilde. For the periodically kicked rotor, we obtain quantitative results for the time-dependent behavior of the rotor's energy that characterizes the system's localization/resonance properties. For the quasiperiodically kicked rotor, we find that for irrational values of (h) over tilde/(4 pi), the quantum phase transition exhibited in this system falls into the universality class of Anderson (metal-insulator) transition in disordered electronic systems; for rational values, the rotor-Anderson insulator turns into a 'supermetal' (i.e. the static conductivity diverges) and the system exhibits metal-supermetal transition.