U. Schwengelbeck et Fhm. Faisal, TRANSITION TO DETERMINISTIC CHAOS IN A PERIODICALLY DRIVEN QUANTUM SYSTEM AND BREAKING OF THE TIME-REVERSAL SYMMETRY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 6260-6263
The phenomenon of transition from regular to chaotic dynamics in a per
iodically driven quantum system is demonstrated. The associated quantu
m Lyapunov numbers are determined analytically. A numerical experiment
is made to test the nature of time evolution predicted by the theory.
In contrast to the evolution in the regular domain, the passage to de
terministic quantum chaos is found to break the time-reversal symmetry
of the quantum dynamics, whenever the latter cannot be followed with
infinite precision.