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Avoided crossings in driven systems

Benjamin P. Holder·Linda E. Reichl
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Abstract

We characterize the avoided crossings in a two-parameter, time-periodic system which has been the basis for a wide variety of experiments. By studying these avoided crossings in the near-integrable regime, we are able to determine scaling laws for the dependence of their characteristic features on the non-integrability parameter. As an application of these results, the influence of avoided crossings on dynamical tunneling is described and applied to the recent realization of multiple-state tunneling in an experimental system.

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Benjamin P. Holder, Linda E. Reichl. 2005-09-05. Avoided crossings in driven systems. https://doi.org/10.1103/physreva.72.043408

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