Abstract

We study theoretically the nonlinear optical response of a monolayer of regularly arranged three-level identical quantum emitters with a doublet in the excited state to the action of a monochromatic electromagnetic field quasi-resonant to optical transitions in the emitter. The total retarded dipole–dipole interaction of the emitters is accounted for in the mean-field approximation. This interaction plays the role of a positive feedback, which (in combination with the immanent nonlinearity of emitters themselves) leads to multistability of the monolayer response. The stability of different response branches is analyzed using the Lyapunov exponents method. It is found that the instability type depends on the doublet splitting and changes from self-oscillations to chaos upon increasing the splitting. Another important property of the monolayer is its high (almost 100%) reflectance in a certain frequency range; i.e., within this range, the monolayer operates as a perfect nanometer mirror; moreover, reflection can be switched to transmission changing slightly the incident field amplitude (bistability). The possibility of application of the above mentioned monolayer optical properties in nanophotonics is discussed.

中文翻译：

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激发态双峰态三层量子发射体单层的非线性光学动力学和高反射率

摘要

我们从理论上研究了在激发态中具有双峰的规则排列的三能级相同量子发射器的单层对准谐振器的单色电磁场的非线性光学响应，该场对发射器中的光跃迁准谐振。发射极的总延迟偶极-偶极相互作用在平均场近似中得到解释。这种相互作用起着正反馈的作用，（与发射器本身的固有非线性相结合）导致单层响应的多稳定性。使用Lyapunov指数方法分析了不同响应分支的稳定性。发现不稳定性类型取决于双峰分裂，并随着分裂的增加从自激振荡变为混沌。单层膜的另一个重要特性是在一定频率范围内的高反射率（几乎100％）。即，在此范围内，单层可充当完美的纳米镜；此外，反射可以切换到透射，从而稍微改变入射场的振幅（双稳性）。讨论了在纳米光子学中应用上述单层光学特性的可能性。