Density engineering via inter-condensate dipole-dipole interactions

We study the effect of inter-condensate dipole-dipole interactions in a setup consisting of physically disconnected, single-species dipolar Bose-Einstein condensates. In particular, making use of the long-range and anisotropic nature of dipole-dipole interactions, we show that the density of a {\em target} dipolar Bose-Einstein condensate can be axially confined and engineered using a trapped {\em control} dipolar condensate. Increasing the number of control condensates leads to exotic ground state structures, including periodic patterns in the target condensate. The latter leads to a structural transition between single and double-peaked structures with coherence between the peaks controlled via the separation between the control condensates.