在非赫米特散射系统中复杂时间延迟的超宇宙统计
Nadav Shaibe1, Jared M Erb1, Steven M Anlage1
1University of Maryland, College Park, Maryland Quantum Materials Center, Department of Physics, Maryland 20742-4111, USA.
Physical review letters
|April 25, 2025
概括
我们探索了非赫米特混沌系统中的复杂时间延迟,发现了超宇宙对大延迟的统计性质. 这些发现揭示了波散射奇点在不同维度和对称度的普遍行为.
科学领域:
- 复杂的系统和波浪散射
- 非赫米特物理学 非赫米特物理学
- 这是量子混沌.
背景情况:
- 维格纳-史密斯时间延迟量化了在节流系统中的激发停留时间.
- 对于非赫米特系统的时间延迟的复杂概括及其统计性质仍然不发达,特别是在混乱散射的短波长极限中.
- 之前关于时间延迟统计的研究主要集中在单元系统上.
研究的目的:
- 为了研究复杂的维格纳-史密斯时间延迟和相关的时间延迟差异在非赫米特混沌散射系统的统计性质.
- 在时间延迟的统计分布中识别通用行为,特别是在散射奇点的存在下.
- 将统计属性与单元散射系统的统计属性进行比较.
主要方法:
- 从1D图形,2D比利亚里和3D空洞中测量多端口散射 (S) 矩阵的实验测量.
- 计算复杂的维格纳-史密斯时间延迟 (τ_{WS}),反射时间延迟 (τ_{xx}) 和传输时间延迟 (τ_{xy}).
- 介绍和计算复杂的反射时间延迟差异 (τ_{δR}) 和传输时间延迟差异 (τ_{δT}) 对于非互惠系统.
主要成果:
- 较大的时间延迟与散射奇点有关,例如连贯完美吸收和单向隐形.
- 所有计算的时间延迟数量的真实和虚拟部分的大延迟尾表现出超普遍性,独立于系统参数 (D, M, β, η).
- 这种超普遍性与单位系统形成鲜明对比,其中时间延迟统计依赖于M和β.
结论:
- 在非赫米特混沌系统中,时间延迟的统计分布是由散射奇点的拓性质决定的.
- 发现的超普遍性为理解通用散射系统中奇点的丰富性提供了一个通用框架.
- 这些发现适用于短波长极限内的各种非赫米特波混沌系统,包括光学和声学共振器.
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