  We analyze a technique for the preparation of low entropy many body states of
atoms in optical lattices based on adiabatic passage. In particular, we show
that this method allows preparation of strongly correlated states as stable
highest energy states of Hamiltonians that have trivial ground states. As an
example, we analyze the generation of antiferromagnetically ordered states by
adiabatic change of a staggered field acting on the spins of bosonic atoms with
ferromagnetic interactions.
