▎ 摘　　要

Recent advancements in the study of optical lattices and graphene have led to explore advanced physical concepts, and if the two elements are combined into a single photonic device, it may display superior performances. In this work, we investigate Goos-Hanchen (GH) shifts for a light field incident on a three layered structure containing a parity time (PT)-symmetric atomic lattice, graphene and a dielectric. We observe huge spatial and angular shifts for the reflected as well as the transmitted light in this model and the magnitudes of these shifts can be efficiently controlled by adjusting parameters of the three different media in the present geometry, either individually or simultaneously. This high order tunability of the lateral shifts may be used to design highly accurate sensors and optical switches.