论文标题

量化偶联谐振器的非线性腔QED效果的量化准标准模式描述具有Fano样共振

Quantized quasinormal mode description of non-linear cavity QED effects from coupled resonators with a Fano-like resonance

论文作者

Franke, Sebastian, Richter, Marten, Ren, Juanjuan, Knorr, Andreas, Hughes, Stephen

论文摘要

我们采用了最近开发的准模式(QNM)来研究由杂交金属 - 二射谐振器与量子发射器耦合的杂交金属二电气谐振器组成的非扰动开放式腔QED系统。这种混合腔体系统使人们可以探索低$ Q $(质量)共振与高$ Q $共振之间的复杂耦合,并以惊人的Fano共振表现出来,这种效果未被常规模式或Jaynes-Cummings(JAYNES-CMMSINGS(JC)类型的传统量化计划所捕获。 QNM量化方法严格包括QNM之间的耗散耦合,并补充了系统中多种模式的输出电场运算符的广义输入 - 输出关系,以及系统外部的相关功能。耗散诱导的模式耦合的作用在光子和发射极之间的强耦合方向上探索了JC装扮状态阶梯的第一个梯级。发现QNM量子模型和现象学耗散JC模型之间的量子主方程和输入输出关系的重要差异。在第二步中,将FOCK分布和系统的数值结果以及从量化的QNM模型获得的杂种结构获得的数值结果与现象学方法的结果进行了比较。我们明确地证明了量化的QNM模型如何表现在多光子量子相关性中,而不是通常的JC模型所预测的。

We employ a recently developed quantization scheme for quasinormal modes (QNMs) to study a nonperturbative open cavity-QED system consisting of a hybrid metal-dielectric resonator coupled to a quantum emitter. This hybrid cavity system allows one to explore the complex coupling between a low $Q$ (quality factor) resonance and a high $Q$ resonance, manifesting in a striking Fano resonance, an effect that is not captured by traditional quantization schemes using normal modes or a Jaynes-Cummings (JC) type model. The QNM quantization approach rigorously includes dissipative coupling between the QNMs, and is supplemented with generalized input-output relations for the output electric field operator for multiple modes in the system, and correlation functions outside the system. The role of the dissipation-induced mode coupling is explored in the strong coupling regime between the photons and emitter beyond the first rung of the JC dressed-state ladder. Important differences in the quantum master equation and input-output relations between the QNM quantum model and phenomenological dissipative JC models are found. In a second step, numerical results for the Fock distributions and system as well as output correlation functions obtained from the quantized QNM model for the hybrid structure are compared with results from a phenomenological approach. We demonstrate explicitly how the quantized QNM model manifests in multiphoton quantum correlations beyond what is predicted by the usual JC models.

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