AI 中文总结
研究共振极化激元超表面中激子极化激元的能带工程，开发有效哈密顿框架，揭示光子 - 激子耦合选择规则，应用于WS₂超表面发现新拓扑转变，建立理论框架，可用于多种光子学领域。
AI 中文摘要
极化激元超表面为通过光学共振和激子激发的相互作用来设计混合光物质态提供了一个通用平台。然而，预测模型往往仍停留在唯象层面且依赖耦合模方程。在此，我们为共振极化激元超表面中的激子极化激元开发了一个有效的哈密顿框架，它源自激子极化的半经典单极描述和导模共振的格林函数描述。所得的非厄米哈密顿量严格纳入了共振光子谐波、多个激子自由度和辐射损耗。该模型揭示了由轨道多极指数和极化分类的光子 - 激子耦合的选择规则，并表明激子自由度的最小数量等于相关光子模式的数量。我们将该框架应用于图案化为三角形孔六边形晶格的体范德华WS₂超表面，发现了一种由偶极 - 四极能带反转驱动的新的几何控制拓扑转变，不同于传统的呼吸蜂窝晶格转变。全波模拟证实了预测的拓扑相图以及拓扑界面处光子和极化激元边缘态的出现。我们的结果为极化激元超表面中几何控制的能带结构工程建立了一个理论多模框架，可应用于拓扑、手性和量子集成光子学。
英文摘要
Polaritonic metasurfaces provide a versatile platform for engineering hybrid light-matter states through the interplay of optical resonances and excitonic excitations. Yet, predictive models often remain phenomenological and rely on coupled-mode equations. Here, we develop an effective Hamiltonian framework for exciton polaritons in resonant polaritonic metasurfaces, derived from a semiclassical single-pole description of excitonic polarization and a Green's-function description of guided-mode resonances. The resulting non-Hermitian Hamiltonian rigorously incorporates resonant photonic harmonics, multiple excitonic degrees of freedom, and radiative losses. The model reveals selection rules governing photonic-excitonic coupling classified by orbital multipole index and polarization, and shows that the minimal number of excitonic degrees of freedom equals the number of relevant photonic modes. We apply the framework to a bulk van der Waals WS$_2$ metasurface patterned into a hexagonal lattice of triangular holes and uncover a new geometry-controlled topological transition driven by dipole-quadrupole band inversion, distinct from the conventional breathing-honeycomb-lattice transition. Full-wave simulations confirm the predicted topological phase diagram and the emergence of photonic and polaritonic edge states at a topological interface. Our results establish a theoretical multimode framework for geometry-controlled bandstructure engineering in polaritonic metasurfaces, with applications in topological, chiral, and quantum integrated photonics.
Comments30 pages, 8 figures, including Supplementary Material
