在开放的迪克模型中分析混乱和规律性
David Villaseñor1, Pablo Barberis-Blostein1
1Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, C.P. 04510 CDMX, Mexico.
Physical review. E
|February 17, 2024
概括
这项研究分析了开放的迪克模型中的混乱和规律性,使用复杂的光谱分析来证实Grobe-Haake-Sommers对量子系统的消散猜测.
科学领域:
- 量子光学就是一个量子光学.
- 这是量子混沌.
- 开放的量子系统是开放的.
背景情况:
- 迪克模型描述了光物质相互作用,其开放形式包含散射.
- 在无限维量子系统中分析混乱和规律是计算上具有挑战性的.
研究的目的:
- 为了研究空洞损失的开放迪克模型中的混乱和规律性.
- 介绍一个数值方法来近似无限维系统的复杂光谱.
- 为了测试格罗伯-哈克-索默斯 (GHS) 推测对于马科维散散式开放量子系统.
主要方法:
- 对开放的迪克模型复杂光谱的数值分析.
- 在无限Liouville空间中开发一个标准来近似系统的光谱.
- 在正规和混乱状态下研究固有值分布.
主要成果:
- 复杂的频谱分析成功地描述了开放的迪克模型的模式.
- 结果与GHS推测一致,显示正规行为的2D波桑分布.
- 混乱的政权表现出基尼布雷单元组合 (GinUE) 的分布.
结论:
- 这项研究验证了马科夫散散式开放量子系统的GHS猜测.
- 引入的光谱分析方法对无限维系统有效.
- 开放的迪克模型中的混乱和规律性可以通过自身值分布来识别.
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