远程量子无序系统的关键动态
Weitao Chen1,2,3, Gabriel Lemarié2,3,4, Jiangbin Gong1,2,3
1Department of Physics, National University of Singapore, Singapore.
Physical review. E
|December 20, 2023
概括
具有长距离跳跃的量子无序系统表现出量子多分体性和异常动态. 与标准的安德森过渡不同,涉及有限大小和时间的新缩放定律对于描述这些系统至关重要.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子动力学 量子动力学是什么?
- 无序的系统是无序的系统.
背景情况:
- 量子系统中的长距离跳跃导致量子多重性,超出了典型的安德森过渡性质.
- 这些系统中的关键动态可以显示出在有限维的安德森转换中未见的异常行为.
研究的目的:
- 在远程跳跃系统中提出波包扩张的现象学模型.
- 为了研究由远距离跳跃诱导的多分位属性和代数脂肪尾巴.
- 通过分析推导出时刻的动态和反向参与比率,将它们与多分形维度联系起来.
主要方法:
- 开发波束膨胀的现象学模型.
- 对波束动态的缩放规律的分析导出.
- 使用类似于功率定律的Floquet模型进行数值模拟随机带矩阵组合.
主要成果:
- 该研究通过分析推导出时刻的动态和反向参与率.
- 数字模拟验证预测,显示动态偏离单参数缩放规律.
- 对于这些系统,建立了关键的有限大小和时间依赖的缩放规律.
结论:
- 具有远程跳转的系统需要新的缩放规律,这些规律取决于尺寸和时间.
- 这些发现与理解复杂网络上的多体局部化和安德森局部化有关.
- 希尔伯特空间的固有拓在远程效应中起着关键作用.
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