Choi Jeong Ryeol
Department of Nanoengineering, Kyonggi University, Suwon, Gyeonggi-do, 16227, Republic of Korea.
Sci Rep. 2021 Dec 14;11(1):23974. doi: 10.1038/s41598-021-03047-8.
The characteristics of nonstatic quantum light waves in the coherent state in a static environment is investigated. It is shown that the shape of the wave varies periodically as a manifestation of its peculiar properties of nonstaticity like the case of the Fock-state analysis for a nonstatic wave. A belly occurs in the graphic of wave evolution whenever the wave is maximally displaced in the quadrature space, whereas a node takes place every time the wave passes the equilibrium point during its oscillation. In this way, a belly and a node appear in turn successively. Whereas this change of wave profile is accompanied by the periodic variation of electric and magnetic energies, the total energy is conserved. The fluctuations of quadratures also vary in a regular manner according to the wave transformation in time. While the resultant time-varying uncertainty product is always larger than (or, at least, equal to) its quantum-mechanically allowed minimal value ([Formula: see text]), it is smallest whenever the wave constitutes a belly or a node. The mechanism underlying the abnormal features of nonstatic light waves demonstrated here can be interpreted by the rotation of the squeezed-shape contour of the Wigner distribution function in phase space.
研究了静态环境中相干态下非静态量子光波的特性。结果表明,波的形状会周期性变化,这体现了其非静态的特殊性质,类似于对非静态波进行福克态分析的情况。每当波在正交空间中最大位移时,波演化图中就会出现一个波腹,而每当波在振荡过程中经过平衡点时,就会出现一个节点。这样,波腹和节点依次相继出现。虽然波轮廓的这种变化伴随着电能和磁能的周期性变化,但总能量是守恒的。正交分量的涨落也会根据波随时间的变换而有规律地变化。虽然合成的时变不确定度乘积总是大于(或至少等于)其量子力学允许的最小值([公式:见正文]),但当波形成波腹或节点时,它是最小的。这里展示的非静态光波异常特征背后的机制可以通过相空间中维格纳分布函数的压缩形状轮廓的旋转来解释。