  It is shown that the extended Hubbard Hamiltonian describing atoms confined
in an optical lattice always contains commonly neglected terms which can
significantly change the dynamical properties of the system. Particularly for
bosonic systems, they can be exploited for creating orbital states on demand
via the parametric resonance phenomenon. This indicates an additional
application for optical lattices, namely the study and emulation of
interactions between particles and lattice vibrations.
