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The Lindblad form of the master equation has proven to be one of the mostconvenient ways to describe the impact of an environment interacting with aquantum system of interest. For single systems the jump operatorscharacterizing these interactions usually take simple forms with a clearinterpretation. However, for coupled systems these operators take significantlydifferent forms and the full dynamics cannot be described by jump operatorsacting on the individual subsystems only. In this work, we investigate thedifferences between a common phenomenological model for the master equation andthe more rigorous dressed-state master equation for optomechanical systems. Weprovide an analytical method to obtain the absorption spectrum of the systemfor both models and show the breakdown of the phenomenological model in boththe bad cavity and the ultra-strong coupling limit. We present a carefuldiscussion of the indirect dephasing of the optical cavity in both models andits role in the differences of their predicted absorption spectra. Our workprovides a simple experimental test to determine whether the simplerphenomenological model can be used to describe the system and is a step forwardtoward a better understanding of the role of the coupling between subsystemsfor open-quantum-system dynamics.

Breakdown signatures of the phenomenological Lindblad master equation in the strong optomechanical coupling regime