Non-equilibrium delocalization–localization transition of photons in two coupled microwave cavities

We propose an dimer model consisting of two coupled microwave cavities with each cavity containing a two-level atom and a YIG sphere placed in the biased magnetic field. We use the semiclassical approximation and quantum master equation to investigate the delocalization–localization transition of the system. We find the sharp transition and the great photon localization under lower excitation. We also find that increasing initial photon number and magnon excitation can facilitate the localization. We also investigate the local second-order photon correlations to reflect the localization. The work suggests a new platform for studying the delocalization–localization transition of photons in cavity optomagnonic systems, with potential applications in quantum information processing. The article also discusses the experimental relevance of the model parameters.