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Physica B Condensed Matter

Suppression of tunneling in periodically driven bistable systems

Frank Großmann, Thomas Dittrich, Peter Hänggi A

Published Dec 1, 1991• 49 citations
Publisher
DOI
10.1016/0921-4526(91)90729-x

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The quantum dynamics of a quartic double well, subjected to a harmonically oscillating field, is studied in the framework of the Floquet formalism. The modifications of the familiar tunneling process due to driving and dissipation are investigated numerically and explained in terms of the quasienergy spectrum. In absence of dissipation, there is a onedimensional manifold in the parameter space spanned by amplitude and frequency of the driving force, where tunneling is almost completely suppressed by the coherent driving. The influence of dissipation is described on basis of the reduced density matrix in the Floquet representation. In particular, we consider the effect of weak Ohmic damping. In the classical limit, this system corresponds to a damped bistable Duffing oscillator