We describe measurements of the mean energy of an ensemble of laser-cooled
atoms in an atom optical system in which the cold atoms, falling freely und
er gravity, receive approximate delta -kicks from a pulsed standing wave of
laser light. We call this system a "delta -kicked accelerator." Additional
ly, we can counteract the effect of gravity by appropriate shifting of the
position of the standing wave, which restores the dynamics of the standard
delta -kicked rotor. The presence of gravity (delta -kicked accelerator) yi
elds quantum phenomena, quantum accelerator modes, which are markedly diffe
rent from those in the case for which gravity is absent (delta -kicked roto
r). Quantum accelerator modes result in a much higher rate of increase in t
he mean energy of the system than is found in its classical analog. When gr
avity is counteracted, the system exhibits the suppression of the momentum
diffusion characteristic of dynamical localization. The effect of noise is
examined and a comparison is made with simulations of both quantum-mechanic
al and classical versions of the system. We find that the introduction of n
oise results in the restoration of several signatures of classical behavior
, although significant quantum features remain.