Stability of oscillators driven by ergodic processes.

The evolution of a quantum harmonic oscillator, forced by a stationary ergodic process, is considered. Under suitable conditions on the ‘‘dynamics’’ of this process, it is shown that generically the spectrum of the associated quasienergy operator is continuous. These results also apply to kicked harmonic oscillators where the amplitudes of the kicks are governed by a stationary ergodic process. [ABSTRACT FROM AUTHOR]