Choi Jeong Ryeol
Department of Electrophysics, College of Convergence and Integrated Science, Kyonggi University, Yeongtong-gu, Suwon, Gyeonggi-do 16227, Korea.
Nanomaterials (Basel). 2020 Jul 17;10(7):1391. doi: 10.3390/nano10071391.
The geometric phase, as well as the familiar dynamical phase, occurs in the evolution of a squeezed state in nano-optics as an extra phase. The outcome of the geometric phase in that state is somewhat intricate: its time behavior exhibits a combination of a linear increase and periodic oscillations. We focus in this work on the periodic oscillations of the geometric phase, which are novel and interesting. We confirm that such oscillations are due purely to the effects of squeezing in the quantum states, whereas the oscillation disappears when we remove the squeezing. As the degree of squeezing increases in -quadrature, the amplitude of the geometric-phase oscillation becomes large. This implies that we can adjust the strength of such an oscillation by tuning the squeezing parameters. We also investigate geometric-phase oscillations for the case of a more general optical phenomenon where the squeezed state undergoes one-photon processes. It is shown that the geometric phase in this case exhibits additional intricate oscillations with small amplitudes, besides the principal oscillation. Such a sub-oscillation exhibits a beating-like behavior in time. The effects of geometric-phase oscillations are crucial in a wide range of wave interferences which are accompanied by rich physical phenomena such as Aharonov-Bohm oscillations, conductance fluctuations, antilocalizations, and nondissipative current flows.
几何相位以及常见的动力学相位，作为一个额外的相位出现在纳米光学中压缩态的演化过程中。该状态下几何相位的结果有些复杂：其时间行为呈现出线性增加和周期性振荡的组合。在这项工作中，我们关注几何相位的周期性振荡，它们新颖且有趣。我们证实这种振荡纯粹是由于量子态中的压缩效应引起的，而当我们去除压缩时，振荡就会消失。随着正交方向上压缩程度的增加，几何相位振荡的幅度变大。这意味着我们可以通过调整压缩参数来调节这种振荡的强度。我们还研究了更一般光学现象情况下的几何相位振荡，即压缩态经历单光子过程的情况。结果表明，在这种情况下，除了主要振荡外，几何相位还表现出幅度较小的额外复杂振荡。这种子振荡在时间上呈现出类似拍频的行为。几何相位振荡的效应在广泛的波干涉中至关重要，这些干涉伴随着丰富的物理现象，如阿哈罗诺夫 - 玻姆振荡、电导涨落、反局域化和无耗散电流流动。
