Citation:
O'Connor, P.W., Tomsovic, S. & Heller, E.J. Semiclassical dynamics in the strongly chaotic regime: breaking the log time barrier. Physica D: Nonlinear Phenomena 55, 340–357 (1992).
Abstract:
We investigate the behavior of the quantum baker's transformation, a system whose classical analogue is completely chaotic, for time scales where the classical mechanics generates phase space structures on a scale smaller than Planck's constant (i.e., past the log time t∗ ≈ ln ħ-1). Surprisingly, we find that a semiclassical theory can accurately reproduce many features of the quantum evolution of a wave packet in this strongly mixing time regime.