arXiv:2509.17032 · Physica Scripta
Quantum phase transition in two dimension nonlinear cavity optomagnonic system
Yu Sang, J.-M. Liu, Lei Tan
Abstract
Abstract The superfluid-Mott insulator and ergodic-many body localization transitions based on a two dimension nonlinear cavity optomagnonic system are investigated, where a yttrium iron garnet (YIG) sphere is embedded at each site of a two-dimensional coupled cavity array. We demonstrate that introducing phonon-photon coupling enhances the system’s coherence in the presence of the YIG sphere’s Kerr nonlinearity. In contrast, the photonic Kerr nonlinearity more effectively stabilizes the Mott insulating phase than the magnonic nonlinearity. The underlying physical mechanism is clarified by calculating the system’s effective repulsive potential. For the ergodic–many body localization transition, we find that increasing the disorder strength drives the system from the ergodic to the many-body localized phase, while a higher chemical potential enlarges the ergodic region. This work provides a unified framework for characterizing quantum phase transitions in cavity optomagnonic systems and offers an experimentally feasible route for their realization, paving the way for exploring complex many-body phenomena in hybrid quantum platforms.