Spectral control and amplification in a non-Hermitian time-Floquet resonator

We report atypical transmission characteristics of a micro cavity supporting two degenerate modes with their mode-coupling subjected to non-Hermitian modulation. Such non-Hermitian time-Floquet systems allow for effective optical energy exchange between different Floquet modes enabling its utilization as both a frequency shifter and a frequency beam splitter. Additionally, depending on the driving signal parameters, the modes can be amplified compensating for insertion loss. We provide a detailed analytical framework to model the time-varying cavity and optimize its parameters for efficient performance. The reported results and analysis are expected to be valuable for applications in quantum photonics and optical communication.