粘性对强烈混乱的开放系统的量子状态的影响
Miguel A Prado Reynoso1, Edson M Signor1, Sandra D Prado2
1University of Connecticut, Department of Physics, Storrs, Connecticut 06269, USA.
Physical review. E
|February 7, 2025
概括
转子系统中的经典粘性降低了开放量子系统中的量子状态移位和衰变速率. 这一发现有助于通过理解混乱轨迹来控制量子力学.
科学领域:
- 这是量子混沌.
- 开放的量子系统是开放的.
- 经典动力学和量子动力学.
背景情况:
- 经典粘性是指轨道暂时被限制在混乱的相位空间内.
- 了解开放的量子系统对于量子技术至关重要.
- 转子模型是研究混乱的标准系统.
研究的目的:
- 为了研究经典粘性对开放量子系统的影响.
- 分析粘性如何影响量子状态移位和衰变速率.
- 建立经典轨迹属性与量子状态特征之间的联系.
主要方法:
- 对被转子的标准图的分析.
- 在强烈混乱的地图中识别粘性区域.
- 使用"泄漏"进行相位空间扫描,以探测量子动力学.
- 经典停留时间和利亚普诺夫指数与量子停留时间和维尔尔 entropies 的比较.
主要成果:
- 经典的粘性在强烈混乱的模式中被识别出来.
- 粘性被证明可以降低量子态移位和初始状态的衰变速率.
- 发现了古典停留时间/利亚普诺夫指数和量子停留时间/韦尔 entropies 之间有很强的相关性.
结论:
- 经典粘性显著影响开放量子系统的动态.
- 经典轨迹分析为量子状态行为提供了洞察力.
- 这种知识允许对量子状态移位和开放系统动态进行有针对性的操纵.
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