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We present a quantized quasinormal approach to rigorously describe coupledlossy resonators, and quantify the quantum coupling parameters as a function ofdistance between the resonators. We also make a direct connection betweenclassical and quantum quasinormal modes parameters and theories, offering newand unique insights into coupled open cavity resonators. We present detailedcalculations for coupled microdisk resonators and show striking interferenceeffects that depend on the phase of the quasinormal modes, an effect that isalso significant for high quality factor modes. Our results demonstrate thatcommonly adopted master equations for such systems are generally not applicableand we discuss the new physics that is captured using the quantized quasinormalmode coupling parameters and show how these relate to the classical modeparameters. Using these new insights, we also present several models to fix thefailures of the dissipative Jaynes-Cummings type models for coupled cavityresonators. Additionally, we show how to improve the classical and quantumlossless mode models (i.e., using normal modes) by employing a non-diagonalmode expansion based on the knowledge of the quasinormal mode eigenfrequencies,and analytical coupled mode theory, to accurately capture the mode interferenceeffects for high quality factors.

Connecting classical and quantum mode theories for coupled lossy cavity resonators using quasinormal modes