  We introduce shaken lattice interferometry with atoms trapped in a
one-dimensional optical lattice. By phase modulating (shaking) the lattice, we
control the momentum state of the atoms. Through a sequence of shaking
functions, the atoms undergo an interferometer sequence of splitting,
propagation, reflection, reverse propagation, and recombination. Each shaking
function in the sequence is optimized with a genetic algorithm to achieve the
desired momentum state transitions. As with conventional atom interferometers,
the sensitivity of the shaken lattice interferometer increases with
interrogation time. The shaken lattice interferometer may also be optimized to
sense signals of interest while rejecting others, such as the measurement of an
AC inertial signal in the presence of an unwanted DC signal.
