We numerically demonstrate that the response of a damped quantum parti
cle in a bistable potential to a strong time-dependent force exhibits
steps at some specific values of the force. They can be associated wit
h avoided level crossings in the spectrum of the undamped and parametr
ically tilted, static system and are accompanied by a multiresonance s
tructure of the relaxation rate. (C) 1998 Elsevier Science B.V.