标题： 由于外部噪声破坏了动力学局域化，混沌隧穿的恢复 显示英文标题

标题： Recovery of chaotic tunneling due to destruction of dynamical localization by external noise

摘要： 在混沌存在的量子隧穿现象被分析，特别关注量子隧穿与动力学局域化之间的相互作用。 我们观察到，通过向混沌海中添加噪声以减弱生成动力学局域化的破坏性干涉，可能会淹没潜在存在的隧穿幅度。 这种现象与描述环面和混沌区域之间隧穿的复杂轨道的性质有关。 当噪声强度足够小时，隧穿率遵循与噪声强度相关的微扰标度，然后在大噪声强度范围内趋于饱和。 还展示了隧穿率与混沌态的局域长度之间的关系。 结果显示，由于动力学隧穿与动力学局域化之间的竞争，隧穿率并不是普朗克常数的单调递增函数。 上述结果是针对环面和混沌区域之间有尖锐边界的系统得到的。 也解释了这些结果对于环面和混沌区域之间有平滑边界的系统的有效性。 显示英文摘要

摘要： Quantum tunneling in the presence of chaos is analyzed, focusing especially on the interplay between quantum tunneling and dynamical localization. We observed flooding of potentially existing tunneling amplitude by adding noise to the chaotic sea to attenuate the destructive interference generating dynamical localization. This phenomenon is related to the nature of complex orbits describing tunneling between torus and chaotic regions. The tunneling rate is found to obey a perturbative scaling with noise intensity when the noise intensity is sufficiently small and then saturate in a large noise intensity regime. A relation between the tunneling rate and the localization length of the chaotic states is also demonstrated. It is shown that due to the competition between dynamical tunneling and dynamical localization, the tunneling rate is not a monotonically increasing function of Planck's constant. The above results are obtained for a system with a sharp border between torus and chaotic regions. The validity of the results for a system with a smoothed border is also explained.