一维的莱维准晶体
Pallabi Chatterjee1, Ranjan Modak1
1Department of Physics, Indian Institute of Technology Tirupati, Tirupati 517619, India.
Journal of physics. Condensed matter : an Institute of Physics journal
|September 14, 2023
概括
这项研究介绍了Lévy准晶体,这是空间分数量子力学的模型,表现出移位-定位过渡. 这为在光学实验中测试量子力学模型提供了一个新的平台.
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
- 数学物理 数学物理
背景情况:
- 空间分数量子力学 (SFQM) 通过将列维飞行纳入费曼路径积分来概括标准量子力学.
- 奥布里-安德烈 (AA) 模型描述了一个维度的本地化-非本地化过渡.
研究的目的:
- 通过对空间分数施罗丁格方程进行离散,引入莱维准晶体.
- 在这个新模型中研究本地化-迁移过渡.
- 在光学系统中探索潜在的实验实现.
主要方法:
- 使用格伦瓦尔德-莱特尼科夫导数对空间分数的施罗丁格方程进行分离.
- 包括现场准周期性的潜力.
- 对得到的哈密尔顿式及其属性的分析.
主要成果:
- 莱维准晶模型与AA模型具有类似性,具有功率规律跳跃.
- 通过改变近周期电位强度,可以观察到可调节的移位-局部化过渡.
- 局部化和非局部化状态的共存,由移动边缘分开.
结论:
- 莱维准晶提供了一个新的框架来研究SFQM中的现象.
- 该模型作为一个潜在的实验平台,用于测试在光学实验中使用功率规律跳跃的AA模型.
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