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In generic Hamiltonian systems classical transport in the chaotic sea is limited by partial barriers, which allow a flux Φ given by the turnstile area. Quantum mechanically they are even more restrictive for Planck's constant ℏ ≫ Φ, while for ℏ ≪ Φ classical transport is recovered. This transition is qualitatively well understood, however, many quantitative questions are still open.
We construct a kicked system with a particularly simple phase-space structure, having two chaotic regions separated by one dominant partial barrier. We find a universal scaling with the single parameter Φ/ℏ and the transition at Φ/ℏ = π2/4. The results are not described by the random matrix model for partial barriers [Bohigas et. al. 1993]. Alternative quantum models for this transition are presented. |
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