Non-Hermitian Optical bistability with polarization Quantization in Sm3+: BiPO4

In this study, we investigate a novel phenomenon of non-Hermitian optical bistability in Sm³⁺: BiPO₄, under the influence of polarization quantization. Our work focuses on how polarization affects this bistability, especially near exceptional points (EPs) in a non-Hermitian system. We demonstrate two types of optical bistability jumps: two-steps one optical bistability jump and three-steps two optical bistability jumps resulting from constructive and destructive polarization quantization. One optical bistability jump without and with non-Hermitian self-dressing switch is observed at destructive and constructive near EP region, respectively. Two optical bistability jumps via nested-cascade dressing at horizontal polarization quantization are stronger than that of three cascaded dressing at circular polarization quantization. In addition, two types of non-Hermitian optical bistability jumps fit with second order eigenvector intensity splitting theoretical model. Our findings are significant because they offer a new way to control optical switching in materials that can be used for quantum technologies. Such results have potential applications in quantization phase transition in non-Hermitian photonic systems and advanced optical devices.