对应原理,消散,以及基尼布尔集体.
David Villaseñor1, Hua Yan1, Matic Orel1
1CAMTP - Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia, European Union.
Physical review. E
|November 18, 2025
概括
连接经典和量子混沌的对应原理即使在简单的散射系统中也会崩. 吉尼布雷光谱相关性不是消散量子混乱的普遍指标.
科学领域:
- 量子力学就是量子力学.
- 这是量子混沌.
- 统计力学就是统计力学.
背景情况:
- 对应原理对于理解量子力学和量子混乱至关重要.
- 分散量子混沌将经典的混乱运动与光谱相关性联系在一起,特别是基尼布雷合奏的相关性.
- 之前的研究表明,这种对应性在定期动的系统中具有阻尼作用.
研究的目的:
- 在一个广泛的参数空间中系统地探索原型散射量子系统中的对应原理.
- 调查使用基尼布雷光谱相关性作为消散量子混乱的诊断的有效性.
- 为了达到一个真正的半古典的极限在重新审视的模型.
主要方法:
- 重新审视和系统地探索一个周期性的模拟模拟与缓冲.
- 执行一个广泛的参数空间探索.
- 在真正的半古典极限中分析系统.
主要成果:
- 通过光谱连接定义的对应原则,即使在经过修订的原型模型中也失败了.
- 在一个广泛的参数空间中观察到对应原理的分解,包括半古典极限.
- 吉尼布尔光谱相关性被证明不是一个强大的诊断消散量子混乱.
结论:
- 通过光谱相关性表现出来的对应原则并不普遍适用于散射量子系统.
- 吉尼布雷光谱相关性不是确定消散量子混沌的可靠或通用指标.
- 这些发现挑战了经典混乱运动与散射量子系统中的光谱性质之间的已确立联系.
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