We analyze a stimulated revival (echo) effect for the breathing modes
of atomic oscillations in optical lattices. The effect arises from the
dephasing due to the weak anharmonicity being partly reversed in time
by means of additional parametric excitation of the optical lattice.
The shape of the echo response is obtained by numerically simulating t
he equation of motion for the atoms with subsequent averaging over the
thermal initial conditions. A qualitative analysis of the phenomenon
shows that the suggested echo mechanism combines the features of both
spin and phonon echoes.