Floquet Engineering of Polaritonic Amplification in Dispersive Photonic Time Crystals

In this study, we investigate the dynamics of dispersive photonic time crystals (PTCs) and their potential applications for controlling light-matter interaction. By employing the Lorentz-Drude model, we analyze theoretically and via numerical simulation the effects of periodic modulation of dispersion parameters, revealing the emergence of hybrid bandgaps from interaction of polaritonic branches with unique characteristics. Our study demonstrates that dispersive PTCs offer novel excitation channels and amplification possibilities, that require lower modulation frequencies compared to non-dispersive systems thus alleviating experimental challenges for the realization of PTCs in the optical regime. These findings pave the way for advancements in polaritonic lasing and resonant Raman scattering.