驱动耦合Morse振子-相空间可视化和输运特性
Driven coupled Morse oscillators --- visualizing the phase space and characterizing the transport
摘要：
最近的实验和理论研究表明，即使在相当大的分子中，分子内能量再分配（IVR）在中间时间尺度上也是非统计的。因此，重新审视IVR与量子控制的老话题是很有趣的，人们希望经典量子的观点适合于对这个问题获得有价值的见解。然而，了解经典的相空间运输驱动系统是这样一个对应的方法的先决条件，是一个具有挑战性的任务，然后两个自由度的系统。在这项工作中，我们进行了详细的研究的经典动力学的极小模型系统-两个动力学耦合耦合Morse振荡器在单色激光场的存在下。利用小波变换技术，构造并分析了高维相空间的谐振网络或Arnold网。确定了相空间中调控解离动力学的关键结构。此外，我们表明，网络是不均匀的经典动力学表现出广泛的粘性，导致异常运输。我们的工作还表明，成对的非理性障碍可能是至关重要的，即使在高维系统。
英文摘要：
Recent experimental and theoretical studies indicate that intramolecular energy redistribution (IVR) is nonstatistical on intermediate timescales even in fairly large molecules. Therefore, it is interesting to revisit the the old topic of IVR versus quantum control and one expects that a classical-quantum perspective is appropriate to gain valuable insights into the issue. However, understanding classical phase space transport in driven systems is a prerequisite for such a correspondence based approach and is a challenging task for systems with more then two degrees of freedom. In this work we undertake a detailed study of the classical dynamics of a minimal model system - two kinetically coupled coupled Morse oscillators in the presence of a monochromatic laser field. Using the technique of wavelet transforms a representation of the high dimensional phase space, the resonance network or Arnold web, is constructed and analysed. The key structures in phase space which regulate the dissociation dynamics are identified. Furthermore, we show that the web is nonuniform with the classical dynamics exhibiting extensive stickiness, resulting in anomalous transport. Our work also shows that pairwise irrational barriers might be crucial even in higher dimensional systems.
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