论文标题
拓扑SSH模型的非线性构造
Nonlinear construction of topological SSH models
论文作者
论文摘要
Su-Schrieffer-Heeger（SSH）模型描述了一种范式的一维（1-D）系统，该系统表现出非平凡的带拓扑。在本文中，我们预示着一种新的方案，涉及$ 2N+1 $的玻感模式的1D链，并具有最近的邻居相互作用，其中，系统的拓扑受到了内在的非谐性的选择性激发。在特征引起的分散性态度比耦合强度大得多的配色方案中，线性化系统在拓扑上与SSH模型相同。这是该系统的零能量特征模的出现的标志，我们在尺寸$ n = 6 $的链链中特别说明了其丰富的拓扑结构。我们考虑了一个实验可实现的晶格，该晶格涉及光腔，该腔与掌位模式为特征的集体系统。通过研究由于较弱的探针场而引起的传输，我们提供了对系统的光谱分析，例如，在较高的抽水速率下出现了双疗法的出现。
The Su-Schrieffer-Heeger (SSH) model describes a paradigmatic one-dimensional (1-D) system that exhibits a non-trivial band topology. In this paper, we foreground a new scheme involving a 1-D chain of $2N+1$ Bosonic modes with nearest-neighbor interactions, in which, the topology of the system is regulated by the selective excitation of intrinsic anharmonicities. In the dispersive regime, where the characteristic detunings are considerably larger than the coupling strengths, the linearized system is topologically identical to an SSH model. This is marked by the emergence of zero-energy eigenmodes of the system, and we specifically illustrate its rich topology in a chain of size $N=6$. We consider an experimentally realizable lattice involving optical cavities which are coupled to collective systems characterized by Bosonic modes. By investigating the transmission due to a weak probe field, we provide a spectroscopic analysis of the system, demonstrating, for instance, the emergence of bistability at higher pumping rates.
