异常的非赫密特式开放边界频谱
Xi-Xi Bao1, Gang-Feng Guo1, Lei Tan2,3
1School of Sciences and Arts, Suqian University, Suqian 223800, China.
Entropy (Basel, Switzerland)
|October 25, 2024
概括
随着系统的成长,连续频段不容易被开放边界光谱捕获. 在较大的非赫米特系统中,复杂的固有值数量可能会减少,这挑战了关于系统大小和理想场景的假设.
科学领域:
- 量子力学就是量子力学.
- 凝聚物质物理学 凝聚物质物理学
- 非赫米特系统的非赫米特系统
背景情况:
- 传统上,人们认为连续带很容易被纳入开放边界的光谱中.
- 这种假设不论系统大小如何都成立,简化了理论模型.
研究的目的:
- 在开放边界条件下研究系统大小与连续带和复杂固有值的行为之间的关系.
- 挑战传统的理解系统扩张如何影响非赫米特系统中的光谱属性.
主要方法:
- 在开放边界条件下的扩展系统中分析复杂的固有值.
- 用无限系统的理论预测对光谱属性的比较.
主要成果:
- 复杂的固有值缓慢增多,随着系统大小的增加而振荡.
- 连续带和开放边界固有值之间的重叠在较大的系统中变得不太可能.
- 复杂的固有值的数量可以随着系统大小的增加而减少,这与预期相反.
结论:
- 扩大系统大小并不一定导致一个无限大小的系统场景.
- 非赫米特系统中的固态可以表现出类似布洛赫波的分布.
- 这些发现对非赫尔密斯物理学的理论和实验研究有意义.
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