在基于兰佐斯系数的热力学极限中估计量子相关函数的平衡时间
Jiaozi Wang1, Merlin Füllgraf1, Jochen Gemmer1
1University of Osnabrück, Department of Mathematics/Computer Science/Physics, D-49076 Osnabrück, Germany.
Physical review letters
|July 31, 2025
概括
我们使用自相关函数估计量子混沌系统中的平衡时间. 我们基于兰佐斯系数的方法表明,量子平衡发生在现实的时间尺度上,比宇宙的年龄要短得多.
科学领域:
- 量子力学就是量子力学.
- 统计物理学的统计物理.
- 混沌理论是一个混乱理论.
背景情况:
- 了解平衡时间对于量子混乱系统至关重要.
- 自相关函数和兰佐斯系数是关键工具.
研究的目的:
- 开发一种方法来估计量子混沌系统中的平衡时间 (Teq).
- 为了确定量子平衡是否发生在现实的时间尺度上.
主要方法:
- 使用递归方法来分析自相关函数.
- 开发一个方案来估计Teq从兰佐斯系数.
- 执行数值模拟以验证估计方案.
主要成果:
- 提出了一个新的方案,用兰佐斯系数估计平衡时间.
- 数字发现表明,有限数量的兰佐斯系数足以进行合理的Teq估计.
- 这些系统的平衡发生在比宇宙年龄要短得多的时间尺度上.
结论:
- 拟议的方法提供了一种可靠的方式来估计量子平衡时间.
- 量子混沌系统的平衡速度比以前想象的要快得多.
- 分析论据支持数值发现,加强了结论.
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