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A comprehensive study of tunneling dynamics of a Bose-Einstein condensate (BEC) in a tilted quasiperiodic potential is presented. Since no real system is defect-less, the study of quasiperiodic or stochastic systems enjoys a continuing popularity in theoretical as well as experimental groups. A variety of phenomena is expected to occur in these systems, such as Anderson localization and the quantum transition to the Bose glass phase originating from the interplay of interaction and disorder [1]. Our theoretical calculations, based on a mean-field effective theory for many-particle condensate, explain the temporal behavior of the Landau-Zener tunneling. The step-like structure in the survival probability as a function of time which is achieved for a periodic system (resembling the periodic Bloch oscillation) are gradually washed out either in the presence of static and time-dependent incommensurable optical lattices together with increasing atom-atom interaction. The main idea is to search for possibilities of coherent quantum control of the transport and decay of Bose-Einstein condensates by stochastically time-dependent potentials. |
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