Computation of the phase induced by non-newtonian gravitational potentials in atom interferometry

In this letter we present a computation of the phase induced by test masses of different geometry, in the framework of non-newtonian gravitation, on an ideal separated arms atom interferometer. We deduce the related limits on the non-newtonian gravitational strength in the sub-millimeter region for the potential range. These limits would be comparable with the best existing experimental limits but with the advantage of using a microscopic probe.