理性独立的自由费米子具有局部跳跃
Jonathon Riddell1, Bruno Bertini1
1University of Nottingham, University of Nottingham, University of Birmingham, School of Physics and Astronomy, Edgbaston, Birmingham B15 2TT, United Kingdom; School of Physics and Astronomy, Nottingham NG7 2RD, United Kingdom; and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, Nottingham NG7 2RD, United Kingdom.
Physical review. E
|February 7, 2025
概括
我们引入理性独立的自由费米子,它们缺乏光谱退化,并表现出通用放松特性. 构建最小模型,并分析它们的光谱统计数据,揭示它们不遵循Poisson统计数据.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子力学就是量子力学.
- 统计物理 统计物理
背景情况:
- 理性独立的自由费米子具有独特的特性,包括非退化的多体光谱和类似于通用系统的放松行为.
- 了解非相互作用系统中的光谱统计对于描述它们的量子行为和热化特性至关重要.
研究的目的:
- 为了在一个维度中构建任何给定的系统大小的理性独立的自由费米子模型的最小例子.
- 调查这些模型的多体光谱统计数据,并将其与理论预测进行比较,特别是Poisson统计数据.
主要方法:
- 利用数论结果来识别最小的理性独立的自由费米子模型.
- 分析具有化学潜力的自由费米子模型和涉及系统大小和不相称的复杂幅度的除数的跳跃项.
- 使用局部探测器检查光谱统计数据,例如连续水平间距的比率.
- 分析光谱形状因子的时刻,以确定统计数据的特征.
主要成果:
- 为所有一维系统大小构建了最小的理性独立的自由费米子模型.
- 当地探测表明由于非退化的频谱,与Poisson统计数据有相似之处.
- 对光谱形状因子时刻的严格分析表明,这些模型从来没有表现出真正的波桑统计数据.
结论:
- 理性独立的自由费米子为研究具有非通用性质的量子系统提供了一个独特的平台.
- 虽然局部光谱属性可能模仿波桑统计,但全球分析显示了偏差,突出了非相互作用系统中光谱统计的复杂性.
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