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We calculate the time evolution of Landau-Zener tunneling for atoms in an accelerating optical lattice. Analytical expressions are obtained that are in good agreement with a recent observation of nonexponential decay. We identify new experimental regimes that show a crossover from strong coherent oscillations to exponential decay in the temporal evolution of the survival probability. We establish the time scale of this crossover, and make connection to a tunneling time of Zener breakdown.
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Niu et al. (1998) studied this question.
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