Ryeol Choi Jeong
Opt Express. 2021 Oct 25;29(22):35712-35724. doi: 10.1364/OE.440512.
Quantum mechanics allows the emergence of nonstatic quantum light waves in the Fock state even in a transparent medium of which electromagnetic parameters do not vary over time. Such wave packets become broad and narrow in turn periodically in the quadrature space. We investigate the effects of wave nonstaticity arisen in a static environment on the behavior of accompanying geometric phases in the Fock states. In this case, the geometric phases appear only when the measure of nonstaticity is not zero and their time behavior is deeply related to the measure of nonstaticity. While the dynamical phases undergo linear decrease over time, the geometric phases exhibit somewhat oscillatory behavior where the center of oscillation increases linearly. In particular, if the measure of nonstaticity is sufficiently high, the geometric phases abruptly change whenever the waves become narrow in the quadrature space. The understanding for the phase evolution of nonstatic light waves is necessary in their technological applications regarding wave modulations.
量子力学允许即使在电磁参数不随时间变化的透明介质中，福克态下也会出现非静态量子光波。这样的波包在正交空间中会周期性地交替变宽和变窄。我们研究了在静态环境中出现的波的非静态性对福克态中伴随几何相位行为的影响。在这种情况下，几何相位仅在非静态性的度量不为零时出现，并且它们的时间行为与非静态性的度量密切相关。当动力学相位随时间呈线性下降时，几何相位呈现出某种振荡行为，其中振荡中心呈线性增加。特别地，如果非静态性的度量足够高，每当波在正交空间中变窄时，几何相位就会突然变化。对于非静态光波的相位演化的理解在其关于波调制的技术应用中是必要的。
