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We study the effect of a one dimensional periodic potential on the dynamicstructure factor of an interacting Bose Einstein condensate at zerotemperature. We show that, due to phononic correlations, the excitationstrength towards the first band develops a typical oscillating behaviour as afunction of the momentum transfer, and vanishes at even multiples of the Braggmomentum. The effects of interactions on the static structure factor are foundto be significantly amplified by the presence of the optical potential. Ourpredictions can be tested in stimulated photon scattering experiments.Comment: 4 pages, 3 figure

Dynamic structure factor of a Bose-Einstein condensate in a one-dimensional optical lattice