  We study the possibility of using matter wave interferometry techniques to
build a gravitational wave detector. We derive the response function and find
that it contains a term proportional to the derivative of the gravitational
wave, a point which has been disputed recently. We then study in detail the
sensitivity that can be reached by such a detector and find that, if it is
operated near resonance, it can reach potentially interesting values in the
high frequency regime. The correlation between two or more of such devices can
further improve the sensitivity for a stochastic signal.
