  We propose to use Bloch oscillation of ultra-cold atoms in a spin-dependent
optical lattice to prepare schrodinger cat states. Depending on its internal
state, an atom feels different periodic potentials and thus has different
energy band structures for its center-of-mass motion. Consequently, under the
same gravity force, the wave packets associated with different internal states
perform Bloch oscillation of different amplitudes in space and in particular
they can be macroscopically displaced with respect to each other. In this way,
a cat state can be prepared.
