  In this paper we consider uncertainty principles for solutions of certain
PDEs on H-type groups. We first prove that, contrary to the euclidean setting,
the heat kernel on H-type groups is not characterized as the only solution of
the heat equation that has sharp decay at 2 different times. We then prove the
analogue of Hardy's Uncertainty Principle for solutions of the Schr{\"o}dinger
equation with potential on H-type groups. This extends the free case considered
by Ben Sa\"id, Dogga and Thangavelu [BTD] and by Ludwig and M{\"u}ller [LM].
