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    Area of Science:

    • Quantum optics
    • Condensed matter physics
    • Theoretical chemistry

    Background:

    • Understanding light-matter interactions is crucial for quantum technologies.
    • Existing models often treat different interaction regimes separately.

    Purpose of the Study:

    • To develop a unified semi-classical formalism for quantum emitter-environment coupling.
    • To provide a framework for analyzing diverse light-matter interaction regimes.

    Main Methods:

    • Describing quantum emitters using electric polarizability.
    • Characterizing the environment with Green functions.
    • Employing an intuitive scattering picture to derive coupling equations.

    Main Results:

    • A simple semi-classical formalism for emitter-environment coupling.
    • Derivation of a coupling equation to extract system eigenfrequencies.
    • Unified description of weak/strong coupling, coherent interactions, and energy transfer.

    Conclusions:

    • The proposed model offers a unified perspective on various light-matter interaction phenomena.
    • This formalism can serve as a foundation for more advanced quantum electrodynamics models.