张嘉明,邝志业

• 1:江西理工大学理学院

摘要(Abstract)：

研究了在准周期受激转子系统中的量子扩散，通过构建三维动量空间，探讨了非线性相互作用对量子扩散的影响.研究发现，周期驱动可诱导量子扩散的局域化-退局域化转变.在退局域化相中，量子扩散表现出经典混沌特征，具体表现为平均能量随时间的线性增长及扩散系数与驱动强度的二次方关系.此外研究发现：非线性相互作用诱导了能量的指数超快扩散，遵循经典超快扩散规律.经典动力学分析揭示了超指数不稳定性，即Lyapunov指数随时间呈线性增长.研究结果深化了对量子混沌系统能量扩散的理解，以期为周期驱动量子调控提供新的理论依据.

关键词(KeyWords)： 周期驱动系统;量子混沌;量子-经典过渡

Abstract:

Keywords:

基金项目(Foundation): 江西省自然科学基金重点(20224ACB201006)

作者(Author): 张嘉明,邝志业

DOI: 10.16393/j.cnki.37-1436/z.2025.02.012

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