Competition between natural non-Hermitian linear and circular polarization dressing in ion-doped microcrystals Eu3 +: NaYF4 and Eu3+: BiPO4

We report the competition relationship between natural non-Hermitian linear and circular polarization dressings in Eu³⁺: BiPO₄ and Eu³⁺: NaYF₄. We depict that, compare to narrowband excitation (one switch from spectral peak to spectral dip), three dressings lead to the linear or circular polarization signal transition from enhancement peak to suppression dip and to enhancement peak for Eu³⁺: NaYF₄ at broadband excitation due to high decay rate. The linear AT dip is accompanied by two times quantization switches (destructive to constructive, constructive to destructive), while circular AT splitting exhibits one time switch (destructive to constructive quantization) in Eu³⁺: BiPO₄ for narrowband excitation. However, the fluorescence (FL) and multi-Fano of spontaneous four wave mixing (SFWM) shows two circular polarization dressings (two strong dips), which are stronger than linear (one strong dip) at fixing detector. However, the linear and polarization dressing dips are strong due to weak constructive quantization, while strong circular polarization dressing dip comes from destructive quantization at different detectors. Notably, the linear-circular quantization difference results from Zeeman-like effect of CF and selected linear-circular dressing. These results infer a polarizer device that exhibit linear dressing seven times larger than circular dressing at weak quantization output port.