具有位错的极化激元拓扑绝缘体
Polariton Topological Insulators with Disclinations
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中文总结 AI 辅助
研究在具有位错的微腔柱非周期阵列上引入极化激元拓扑绝缘体，利用共振光泵浦激发拓扑态，探讨其非线性及双稳态特性，通过稳定性分析等展示了该系统丰富特性，扩展了拓扑绝缘体概念。
中文摘要 AI 辅助
我们在具有位错的微腔柱非周期阵列上引入了极化激元拓扑绝缘体。这个独特的耗散和非线性拓扑系统具有离散旋转对称性，这在周期性阵列结构中是无法实现的，定性地影响了拓扑模式的结构。在这样的系统中，共振光泵可用于选择性激发在中心位错核心形成的拓扑态，而在泵浦轮廓上施加涡度不仅可以激发最简单的位错态，还可以激发携带涡旋的位错态。极化激元系统的强排斥非线性导致共振曲线随泵浦幅度倾斜增加和双稳态，通过泵浦频率失谐在拓扑间隙内控制非线性位错态形状的可能性丰富。稳定性分析预测了该系统中无涡旋和携带涡旋的非线性位错态具有显著的鲁棒性。我们表明，当泵浦的拓扑电荷超过具有给定离散旋转对称性的位错阵列中允许的最大电荷时，会形成在其相位分布中包含涡旋簇的稳态。我们的结果将具有位错的拓扑绝缘体的概念扩展到非线性共振驱动系统领域，并表明即使对于由系统离散旋转对称性允许的具有不同拓扑电荷的激发携带涡旋的拓扑态，也可以观察到丰富的双稳态效应。
英文摘要
We introduce polariton topological insulator on aperiodic array of microcavity pillars with disclination. This unique dissipative and nonlinear topological system can have discrete rotational symmetry not achievable in structures constructed on periodic arrays that qualitatively affects the structure of topological modes. In such system resonant optical pump can be used for selective excitation of topological states forming on the disclination core in the center, while imposing vorticity on the pump profile allows to excite not only the simplest disclination states, but also vortex-carrying disclination states. Strong repulsive nonlinearity of polaritonic system leads to increasing with pump amplitude tilt of the resonance curves and bistability, with rich possibilities for control of shapes of nonlinear disclination states within topological gap by pump frequency detuning. Stability analysis predicts remarkable robustness of both vortex-free and vortex-carrying nonlinear disclination states in this system. We show that when topological charge of the pump exceeds maximal allowed charge in the disclination array with a given discrete rotational symmetry, the stationary states form that contain vortex clusters in their phase distributions. Our results extend the concept of topo-logical insulators with disclinations to the realm of nonlinear resonantly driven systems and show that rich bistability effects in them can be observed even for excited vortex-carrying topological states with different topological charges allowed by discrete rotational symmetry of the system.
