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We analyze a stimulated revival (echo) effect for the breathing modes of theatomic oscillations in optical lattices. The effect arises from the dephasingdue to the weak anharmonicity being partly reversed in time by means ofadditional parametric excitation of the optical lattice. The shape of the echoresponse is obtained by numerically simulating the equation of motion for theatoms with subsequent averaging over the thermal initial conditions. Aqualitative analysis of the phenomenon shows that the suggested echo mechanismcombines the features of both spin and phonon echoes.Comment: 13 pages, 3 figure

Echo in optical lattices: Stimulated revival of breathing oscillations