  We sudy the creation of nonlocal states with ultracold atoms trapped in an
optical lattice. We show that these states violate Bell inequality by measuring
one- and two-body correlations. Our scheme only requires beam splitting
operations and global phase shifts, and can be realized within the current
technology, employing single-site addressing. This proposal paves the way to
study multipartite nonlocality and entanglement in ultracold atomic systems.
