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理论物理通讯：英文版

Effects of Atomic Coherence and Injected Classical Field on Chaotic Dynamics of Non-degenerate Cascade Two-Photon Lasers

Zhang, Yajun, Huang, Hongbin, Yang, Peng Peng, Xie Xie, Xia

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

把动态方程与协调地准备的 three-levelatoms 和注入洞的古典领域的考虑与量 Langevin 操作员的技术导出的二光子的激光基于串联，我们数字地在二光子的激光的混乱动力学上学习原子连贯和古典地的效果。Lyapunov 代表和分叉图计算证明 Lorenz 混乱和亢奋的混乱能被原子连贯和古典地经由危机或 Hopf 分叉导致或禁止。

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Communications in Theoretical Physics•Jul 1, 2006•1 citation
把动态方程与协调地准备的 three-levelatoms 和注入洞的古典领域的考虑与量 Langevin 操作员的技术导出的二光子的激光基于串联，我们数字地在二光子的激光的混乱动力学上学习原子连贯和古典地的效果。Lyapunov 代表和分叉图计算证明 Lorenz 混乱和亢奋的混乱能被原子连贯和古典地经由危机或 Hopf 分叉导致或禁止。
Based on the cascade two-photon laser dynamic equation derived with the technique of quantum Langevin operators with the considerations of coherently prepared three-level atoms and the classical field injected into the cavity, we numerically study the effects of atomic coherence and classical field on the chaotic dynamics of a two-photon laser. Lyapunov exponent and bifurcation diagram calculations show that the Lorenz chaos and hyperchaos can be induced or inhibited by the atomic coherence and the classical field via crisis or Hopf bifurcations.
我们少些导出尺寸有Λ a tomic 的二光子的激光的动态方程由与原子连贯和注射的古典地的考虑使用量 Langevin 方程方法铺平配置。然后，我们由计算分叉图和最大的 Lyapunovexponent (MLE ) 分析稳定性和二光子的激光的混乱动力学。我们的结果证明 Lorenz 奇怪的引起注意的人和一个焦点奇怪的引起注意的人能在这个系统存在，并且当原子连贯经由危机导致混乱时，混乱能经由 Hopf 分叉或危机由注射的古典地被导致或禁止，并且经由 Hopf 分叉或危机禁止混乱。
We derive equations and study nonlinear dynamics of cascade two-photon laser, in which the electromagnetic field in the cavity is driven by coherently prepared three-level atoms and classical field injected into the cavity. The dynamic equations of such a system are derived by using the technique of quantum Langevin operators, and then are studied numerically under different driving conditions. The results show that under certain conditions the cascade two-photon laser can generate chaotic, period doubling, periodic, stable and bistable states. Chaos can be inhibited by atomic populations, atomic coherences, and injected classical field. In addition, no chaos occurs in optical bistability.
We derive the dimensionless dynamic equations of two-photon lasers with Λ atomic level configuration by using the quantum Langevin equation method with the considerations of atomic coherence and injected classical fields. Then we analyze the stability and the chaotic dynamics of the two-photon laser by calculating the bifurcation diagram and the maximum Lyapunov exponent (MLE). Our results show that the Lorenz strange attractors and one-focus strange attractors can exist in this system, and the chaos can be induced or inhibited by the injected classical fields via Hopf-bifurcations or crises, while the atomic coherence induces chaos via crises, and inhibit chaos via Hopf bifurcation or crises.