论文标题
单模腔中相互作用固体的集体理论
Collective theory for an interacting solid in a single-mode cavity
论文作者
论文摘要
我们通过强耦合到单个电磁模式（例如Fabry-Perot或分裂环腔中的光子模式）来研究相互作用物质的控制。为此，我们分析了相互作用的固体中$ n $ transition偶极子的通用系统的集体光结合模式的确切有效理论。该方法允许从未耦合物质的非线性响应函数``腔外''的非线性响应函数中预测耦合的光 - 物体系统的属性。大$ n $的极限对应于基于物质的两极分化的常规宏观描述。在此极限下，腔不影响静态铁电反应。可以从腔体以外的物质的非线性敏感性中获得需要了解有限尺寸系统并获得非线性光响应所需的校正。该理论是Dicke模型的基准测试的，对于量子模型，该模型是SRTIO3（例如SRTIO3）的最小平均场模型。
We investigate the control of interacting matter through strong coupling to a single electromagnetic mode, such as the photon mode in a Fabry-Perot or split-ring cavity. For this purpose, we analyze the exact effective theory for the collective light-matter hybrid modes of a generic system of $N$ transition dipoles within an interacting solid. The approach allows to predict properties of the coupled light-matter system from the nonlinear response functions of the uncoupled matter ``outside the cavity''. The limit of large $N$ corresponds to a conventional macroscopic description based on the polarizability of matter. In this limit, the cavity does not affect the static ferroelectric response. Corrections, which are needed to understand finite size systems and to obtain the nonlinear light-matter response, can be obtained from the non-linear susceptibilities of the matter outside the cavity. The theory is benchmarked for the Dicke model, and for a quantum Ising model which serves as a minimal mean-field model for a quantum paraelectric material like SrTiO3.
