原子介质中分数轨道角动量的传播

Propagation of Fractional Orbital Angular Momentum in Atomic Media

本文从理论上研究了三能级系统中原子介质对携带分数轨道角动量(FOAM)涡旋光束的响应。通过模拟和分析,证明了分数拓扑荷数的小数部分的大小影响介质极化率空间分布,但是仍然保持与整数拓扑荷数相同的一些特性。但当叠加模态增大时,极化率空间分布周期性破坏,极化率空间分布不再对称,且所占比例发生变化。此外,本文还研究了外磁场对介质极化率的影响,这些发现为分数涡旋光束在原子系统中的传播和操纵提供了理论支持。为原子系统中涉及分数轨道角动量的应用和增强信息传输能力提供潜在的意义。

In this paper, the response of an atomic medium to a vortex beam carrying fractional orbital angular momentum (FOAM) in a three-level system is investigated theoretically. Through simulation and analysis, it is proved that the size of the fractional topological charge affects the spatial distribution of dielectric polarizability, but still retains some of the same characteristics as the integer topological charge. However, when the superposition mode increases, the spatial distribution of polarizability breaks down periodically, and the spatial distribution of polarizability is no longer symmetrical, and the proportion changes. In addition, the influence of external magnetic field on dielectric polarizability is also studied. These findings provide theoretical support for the propagation and manipulation of fractional vortex beams in atomic systems. It provides potential significance for the application of fractional orbital angular momentum in atomic systems and enhancement of information transmission capability.