Photonic spin Hall shift at four level gain-assisted dielectric medium

The theoretical analysis of photonic spin Hall shift is investigated in gain-assisted four-level N-type dielectric atomic medium. The probe light interacts with a cavity filled with a four-level gain assisted atomic medium. The photonic spin shift tuned to positive and negative value at driving fields parameters. The high value of the photonic spin shift varies in the range of $\pm 60\lambda \le {\delta }_p^{L,R}\le \pm 100\lambda$ with the detuning of probe field, while the minimum value of the photonic spin shift varies in the range $\pm 3\lambda \le {\delta }_p^{L,R}\le \pm 10\lambda$ with Rabi frequency of the control field. The reported results have useful applications including sensing technology, spintronics, magnetic memory, quantum computing and optical communication.