Quantum Theory of Light in Photonic Time Crystals

Photonic time crystals are exotic materials characterized by effective parameters that are uniform in space yet periodically vary over time. Recently, these materials have been the subject of extensive study from both theoretical and experimental perspectives. However, the quantum characteristics of light within photonic time crystals remain largely uncharted territory. In this presentation, we explore the interaction of light with these materials through the lens of quantum optics, addressing various topics ranging from mode operator transformation to the photon statistics of light in photonic time crystals.