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In generic Hamiltonian systems classical transport in the chaotic sea is limited by partial barriers, which allow a flux $\Phi$ given by the turnstile area. Quantum mechanically they are even more restrictive for Planck's constant $h \gg \Phi$, while for $h \ll \Phi$ classical transport is recovered. This transition is qualitatively well understood, however, many quantitative questions are still open. We study the standard map and a designed kicked system, where both have two chaotic regions separated by one dominant partial barrier. We find scaling with the single parameter $\Phi/h$. The results are not described by an overall coupling between upper and lower states, but rather by a channel coupling random matrix model. |
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