Attochaos I:高次谐波产生的经典混沌后现代

Jonathan Berkheim, David J. Tannor
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引用次数: 0

摘要

阿秒物理学为超快时间尺度上的光物质相互作用提供了独特的见解。其核心现象--高次谐波发生(HHG),通常用经典的再碰撞模型--简单人或三步模型--来描述,其中原子势被忽略。这一模型已经很好地解释了许多特征;然而,模型的简单性并不允许经典混沌运动的可能性。我们的研究表明,在这一模型之外,经典混沌运动确实存在,尽管其时间尺度一般长于第一次再碰撞时间。我们使用动力学系统理论中的工具,如 Lyapunov 指数和频闪图,对混沌进行了分析。计算是针对受线性极化电场作用的一维库仑势进行的。
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Attochaos I: The classically chaotic postcursor of high harmonic generation
Attosecond physics provides unique insights into light-matter interaction on ultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is often described by a classical recollision model, the simple-man or three-step model, where the atomic potential is disregarded. Many features are already well explained using this model; however, the simplicity of the model does not allow the possibility of classical chaotic motion. We show that beyond this model, classical chaotic motion does exist albeit on timescales that are generally longer than the first recollision time. Chaos is analyzed using tools from the theory of dynamical systems, such as Lyapunov exponents and stroboscopic maps. The calculations are done for a one-dimensional Coulomb potential subjected to a linearly polarized electric field.
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