Effective Modes for a Strongly Coupled Quantum Emitter-MoS$_{2}$ Nanodisk System

We present an effective modes theory for studying the strong light-matter interaction and better understanding non-Markovian dynamics of a quantum emitter (QE) coupled to two-dimensional materials. Specifically, we investigate spontaneous emission V-type QE in close proximity MoS $_{2}$ nanodisk. The population is observed found linked initial states, indicating that system enters strong-coupling regime. analysis shows though dozen resonant appear photonic density only few have significant contribution dynamics. Our work demonstrates as powerful tool explore optimize states control by