| It has been experimentally established by now that a Bose-Einstein condensate in an optical lattice can be subjected to strong time-periodic forcing without being destroyed: Both dynamic localization and the quantum phase transition from a superfluid to a Mott insulator have been induced in this manner. These findings now suggest further stategies for quantum state engineering. We devise a method for probing resonances of mesoscopic matter waves in shaken optical lattices by monitoring their response to slow parameter changes, and show that such resonances can be disabled by particular choices of the driving amplitude. The analysis of this scheme reveals far-reaching analogies between dressed atoms and time-periodically forced matter waves. |
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