Double-frequency photonic spin Hall effect in a tripod atomic system

Abstract

We demonstrate the tunability of the tripod atom-light coupling scheme to achieve a double-frequency photonic Spin Hall Effect (PSHE). The tripod model interacts with a weak probe field and two strong control fields, enabling the realization of symmetric, asymmetric, or single Electromagnetically Induced Transparency, depending on the Rabi frequencies and detunings of the control fields. Our results show that this configuration allows for the generation of symmetric or asymmetric double-peak PSHE, resulting in enhanced transverse shifts at two distinct frequencies. Additionally, we present a scenario that yields a single-peak enhancement of the PSHE at probe field resonance. These results demonstrate the flexibility of the tripod scheme to regulate spin-dependent light–matter interactions, which may find use in multi-frequency spin photonic devices.