The dynamical response of an atomic Bose-Einstein condensate manipulated by
an integrated atom optics device such as a microtrap or a microfabricated
waveguide is studied. We show that when the miniaturization of the device
enforces a sufficiently high condensate density, three-body interactions lead
to a spatial modulational instability that results in a fundamental limit on
the coherent manipulation of Bose-Einstein condensates.Comment: 6 pages, 3 figure