AI 中文总结
该研究针对强光-物质耦合的理论局限，利用量子发射器组合结构研究任意激发数的Tavis-Cummings模型，推导本征系统性质、确定辐射跃迁，揭示新行为并提供降低相关系统计算复杂度的框架。
AI 中文摘要
光学微腔中的强光-物质相互作用会产生被称为极化激元的混合光-物质态，该态已被积极应用于现代技术中。然而，这类系统的理论描述通常局限于单激发情形，这限制了其捕捉多激发物理现象的能力，阻碍了进一步的技术进步。在此，我们利用量子发射器的组合结构，研究具有任意数目的激发的Tavis-Cummings模型。我们推导了其本征系统的结构与性质，并确定了实际尺寸系统中允许的辐射跃迁。我们的工作揭示了少激发区域无法获得的新行为，同时提供了一个可降低具有指数增长希尔伯特空间的类似系统计算复杂度的框架。
英文摘要
Strong light-matter interactions in optical microcavities give rise to hybrid light-matter states known as polaritons. While actively used in modern technologies, theoretical descriptions of such systems are often restricted to the single-excitation case, limiting their ability to capture many-excitation physics and hindering further technological advancements. Here, by exploiting the combinatorial structure of quantum emitters, we investigate the Tavis-Cummings model with arbitrary number of excitations. We derive the structure and properties of its eigensystem and identify allowed radiative transitions in systems of realistic size scales. Our work reveals new behavior inaccessible to the few-excitation regime, while also providing a framework to reduce the computational complexity of similar systems with exponentially growing Hilbert spaces.
Comments22 + 10 pages, 6 + 2 figures
