We report on the momentum distribution line shapes for the quantum delta-ki
cked rotor in the presence of environment induced decoherence. Experimental
and numerical results are presented. In the experiment ultracold cesium at
oms are subjected to a pulsed standing wave of near resonant light. Spontan
eous scattering of photons destroys dynamical localization. For scattering
rates used in our experiment the momentum distribution shapes remain essent
ially exponential.