Natural non-Hermitian interaction alignment with photon-phonon quantization in Eu³⁺: NaYF₄

We investigated the photon and phonon alignment for two dressing interaction profile in Eu⁺³: NaYF₄. The evolution from strong to weak interaction alignment can be controlled by time gate width and time gate position, which shows that time gate position seems more sensitive than time gate width, while changing both can make interaction alignment oscillation due to two phonon and one photon quantization. Fluorescence FL signal switch from dip to peak interaction profile due to strong gamma, while the Super-Fluorescence SFWM signal switch from peak to dip interaction profile due to strong Rabi frequency (G). Comparing single laser spectral alignment to two-laser interaction alignment, the FL and SFWM shows dressing peak dip switch (spectral to interaction profile). In contrast, there is no switch in AT (spectral to interaction profile) because, the phase difference of the second laser balances the destructive and constructive dressing quantization's. Such results can have potential applications in fine and hyper structure interaction alignment in non-polar ion.