Harnessing Translational Symmetry in Moiré Photonic Crystal Nano-cavities for Enhanced Cavity Quantum Electrodynamics

We present a theoretical and computational investigation of integrating Chakrabarti’s translational symmetry concepts with cavity quantum electrodynamics (CQED) in moiré photonic crystal nanocavities. We demonstrate that applying node–antinode translational symmetry filters to moiré field profiles yields localized cavity modes with enhanced light-matter coupling. Compared to standalone moiré or CQED methods, our integrated approach achieves quantitatively superior Purcell enhancements, confirmed via field intensity and effective index simulations. While the idealized model shows promise, we discuss real-world constraints such as photon loss and temperature sensitivity. This cross-disciplinary framework enables progress toward scalable, entanglement-preserving photonic networks.