We analyze the connections between entanglement dynamics and classical trajectories in a semiclassical regime for two systems: A pair of coupled oscillators and the Jaynes-Cummings model. We find that entanglement production depends on classical invariant tori and such phenomenon is closely related to the power spectra of classical trajectories. Classical power spectrum with a larger number of frequency components corresponds to larger entanglement. We introduce a frequency entropy to describe the classical frequency distribution. It is found that there is good correspondence between the classical frequency entropies and the maximum von Neumann entropies.

中文翻译：

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纠缠产生中的量子经典对应：熵和经典环

我们分析了两个系统在半经典状态下纠缠动力学和经典轨迹之间的联系：一对耦合振荡器和 Jaynes-Cummings 模型。我们发现纠缠产生依赖于经典不变环面，这种现象与经典轨迹的功率谱密切相关。具有更多频率分量的经典功率谱对应于更大的纠缠。我们引入频率熵来描述经典频率分布。发现经典频率熵和最大冯诺依曼熵之间有很好的对应关系。