论文标题
介镜Möbius梯子晶格作为非休假模型系统
Mesoscopic Möbius ladder lattices as non-Hermitian model systems
论文作者
论文摘要
虽然经典的量子混乱源自该想法，以将其设置为上下文非线性物理学和遗传学量子力学，但近年来非热模型增强了该领域。同时，低维有效矩阵模型已被证明是以半定量方式访问系统物理性能的强大工具。在这里，我们重点介绍了对介观系统中非炎性物理学的两个实现。首先，我们考虑螺旋光学微腔，其中低语画廊模式之间的不对称散射引起了非高米式行为。其次，对于平等时间（PT）对称阶梯晶格，我们比较圆形和Möbius几何形状。我们发现在显微镜衍生的2 x 2矩阵模型中，偶数和奇数模式之间的有效耦合是对称的，但也导致了非热行为。最重要的是，Möbius拓扑的作用就像散射器，该散点子诱导了一种定性形式的（避免）级别的交叉 - 由特殊点终止的PT折叠阶段，这是由对称但非甲状化耦合导致的。
While classic quantum chaos originated from the idea to set into context nonlinear physics and Hermitian quantum mechanics, non-Hermitian models have enhanced the field in recent years. At the same time, low-dimensional effective matrix models have proven to be a powerful tool in accessing the physical properties of a system in a semiquantitative manner. Here, we focus on two realizations of non-Hermitian physics in mesoscopic systems. First, we consider spiral optical microcavities in which the asymmetric scattering between whispering gallery modes induces the non-Hermitian behaviour. Second, for parity-time (PT) symmetric ladder lattices we compare circular and Möbius geometries. We find the effective coupling between even and odd parity modes to be symmetric but complex in a microscopically derived 2 x 2 matrix model, resulting in non-Hermitian behaviour as well. Most importantly, the Möbius topology acts like a scatterer that induces a qualitatively new form of (avoided) level crossing - a PT-broken phase terminated by exceptional points - resulting from the symmetric but non-Hermitian coupling.
