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    Area of Science:

    • Quantum optics
    • Solid-state physics
    • Spectroscopy

    Background:

    • Photon-phonon interactions are crucial for understanding light-matter interactions.
    • Polarization plays a significant role in quantum phenomena.
    • Fluorescence (FL) and spontaneous four-wave-mixing (SFWM) are key spectroscopic techniques.

    Purpose of the Study:

    • To investigate the dependency of photon-phonon dressing quantization on polarization.
    • To analyze the influence of signal bandwidth and power on dressing quantization.
    • To explore the relationship between linear/circular polarization and quantization in FL and SFWM.

    Main Methods:

    • Theoretical analysis of photon-phonon dressing.
    • Examination of polarization effects on quantum states.
    • Spectroscopic measurements in FL and SFWM regimes.

    Main Results:

    • Destructive dressing polarization quantization observed in FL for narrowband signals.
    • Constructive dressing polarization quantization observed in FL for broadband signals due to phase perturbation.
    • Coexistence of generation and dressing effects leads to constructive polarization quantization under strong Rabi frequency; low power enhances dressing quantization.

    Conclusions:

    • Polarization is a critical factor in photon-phonon dressing quantization.
    • Signal characteristics (bandwidth, power) and optical processes (FL, SFWM) modulate dressing quantization.
    • Findings offer potential for controlling crystal field redistribution via polarization quantization.