Interaction and self-dressing bistability controlled by two dressing quantization in Eu³⁺: BiPO₄ and Eu³⁺: NaYF₄

We report that interaction and self-dressing bistability is controlled by two dressing quantization in Eu³⁺: BiPO₄ and Eu³⁺: NaYF₄. We demonstrate the controllability of two-laser dressing interactions in both the time and spectral domains through perturbation phase, phonon phase, and the two dressing phases. The destructive and constructive dressing spectral profile interactions are observed in fluorescence (FL) and spontaneous four-wave mixing region (SFWM). The evolution from strong to weak destructive/constructive dressing spectral profile interactions is controlled by the time gate width and time gate position. Two lasers strong temporal Autler-Townes (AT) splitting profile interaction comes from dressing induced destructive quantization. The photon-phonon dressing lead to one laser and two lasers constructive/destructive profile interaction. A broadband laser dressing results in a broad dip due to destructive interactions, while narrowband laser dressing produces a broad peak due to constructive interactions. Furthermore, we demonstrate that the bistability of two lasers arises from differences in the density of states in the AT region, attributable to symmetric self-dressing and additional quantization. These findings have potential applications in optical devices and quantum information processing.