Enhancement of strong intrinsic light-matter interaction in a perovskite metasurface embedded in an optical cavity

Achieving room-temperature strong light-matter coupling with scalable, high-performance platforms remains a critical challenge in quantum photonics. We present a hybrid perovskite metasurface architecture that effectively integrates Mie resonances, lattice surface plasmon polaritons (LSPPs), and excitons (X) within a Fabry-P\'erot (FP) cavity to enhance light-matter interactions. The system employs phenethylammonium lead iodide metasurface disks embedded in a dielectric cavity, facilitating three-mode hybridization (Mie-LSPP-X) through cavity-mediated coupling. Theoretical analysis reveals that the FP cavity redistributes Mie-mode electric fields from the edges of disks to their interior, significantly enhancing photon-exciton spatial overlap compared to two-mode Mie-X metasurfaces. Through the analysis using the coupled oscillator model, this amplification yields a Rabi splitting of 231.6 meV, which is more than twice that of two-mode Mie-X systems. The design leverages perovskite advantages, including high exciton binding energy and solution processability, alongside the subwavelength confinement of Mie resonances and diffractive coupling of LSPPs, while minimizing plasmonic losses. The hybrid platform demonstrates potential for exploring quantum phenomena like polariton condensation and optical switching, while advancing practical applications such as low-threshold polariton lasers, all-optical logic devices, and sensors.