Topological insulators are a new class of material, which consists of insulating bulk and conducting surface state. In this study, we investigated the behavior of bulk and surface state of topological insulator under a high frequency electromagnetic field, produce a kind of oscillation called as Floquet oscillation. We successfully identified the classical and quantum behavior of Floquet oscillation in the prospective of collapse revival spectra. This work shows the bulk and surface states behavior of a topological insulator with the help of Floquet and Rabi frequency and describes the dominancy of Floquet oscillation in the low energy physics. Numerical simulation has been applied for verifying the Floquet approximation.
We gratefully acknowledge support from the National Research Foundation of Korea, South Korea (2020-M3H4A3081867 and 2022-R1F1A1063060). The computations were carried out using resources from Korea Supercomputing Center (KSC-2022-CRE-0042). Upendra Kumar is highly obliged to the land of Assam (India), the Brahmaputra river, IIT Guwahati, Kamakhya temple, and Prof. Girish S. Setlur, who has given him the motivation to work in core physics research.We gratefully acknowledge support from the National Research Foundation of Korea, South Korea ( 2020-M3H4A3081867 and 2022-R1F1A1063060 ). The computations were carried out using resources from Korea Supercomputing Center ( KSC-2022-CRE-0042 ). Upendra Kumar is highly obliged to the land of Assam (India), the Brahmaputra river, IIT Guwahati, Kamakhya temple, and Prof. Girish S. Setlur, who has given him the motivation to work in core physics research.