This study investigates a novel phenomenon of non-Hermitian phonon quantization in Eu3+: BiPO4 crystals controlled by different phases. The hexagonal (H) -phase (0.5:1) with low symmetry has strongest destructive gamma phonon quantization as compare to high symmetry phases H-Monoclinic (M) phases (12:1, 1:1) in fluorescence (FL) region, while strong constructive dominant dressing quantization exhibits due to higher phonon density of states in spontaneous four wave mixing (SFWM) region. Strong Spectral Autler-Townes (SAT) is observed in (6:1) phase at small angle and time gate position (GP = 500 ns), while, strong Temporal Autler-Townes (TAT) is studied at GP = 1ns. Also, (6:1) exhibits angle destructive quantization in FL region. Comparison between the H-M (12:1) phase and H = M (6:1) phases reveals that the H-M phase exhibits stronger destructive gamma quantization in FL region due to larger gamma phonon in (12:1) phase. Moreover, H-phase (0.5:1) exhibits large number of phonon density and shows strong constructive quantization as compare to M-phase (7:1) in SWFM region. Additionally, two destructive dressing quantization are observed in fluorescence region where gamma quantization is affected by additional laser. This work establishes a deterministic relation between non-Hermitian phonon quantization and different phases of Eu3+: BiPO4, enabling applications in quantum memory and tunable bandpass filters. The Band pass filter control through phonon quantization with different phases of Eu3+: BiPO4.
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