We report the first observation of the quantum Zeno and anti-Zeno effects i
n an unstable system. Cold sodium atoms are trapped in a far-detuned standi
ng wave of light that is accelerated for a controlled duration. For a large
acceleration the atoms can escape the trapping potential via tunneling. In
itially the number of trapped atoms shows strong nonexponential decay featu
res, evolving into the characteristic exponential decay behavior. We repeat
edly measure the number of atoms remaining trapped during the initial perio
d of nonexponential decay. Depending on the frequency of measurements we ob
serve a decay that is suppressed or enhanced as compared to the unperturbed
system.