Dynamic Modulation of Light Flow in Nitrogen‐Vacancy Centers Coupled to Photonic Crystal Cavities

We propose a scheme to simulate and manipulate polariton transport in a 2D platform consisting of nitrogen‐vacancy centers individually embedded in photonic crystal cavities. We show how a synthetic gauge phase pattern and a chemical potential control polariton transport by establishing a nonreciprocal band structure. This band structure arises from the accumulated Peierls phases during photon hopping and their spatial mismatch at the interface. We demonstrate that this approach allows precise control over light flow, including the direct observation of novel phenomena such as negative refraction. Our work establishes a versatile framework for exploring polariton transport phenomena in tailored quantum hybrid platforms.