Enhancement of quantum tunneling oscillations due to nonlinear interactions

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Abstract
We show that atomic-tunneling oscillations between two Bose-Einstein condensates can be increased as well as decreased by preparing the appropriate initial conditions and the nonlinear self-interaction. There is a trade-off relation between the oscillation amplitudes and the frequencies: smaller the oscillation amplitudes, higher the oscillation frequencies. The trajectory of the state vector on the Bloch sphere gives us an intuitive understanding of the increase of the tunneling oscillations. Similar effect predicted in this paper is expected for other nonlinear systems such as in the coupled quantum dots and waveguide coupling, in which the on-site energy and the self-phase-modulation, respectively, give rise to the nonlinear interactions.