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.

拓扑绝缘体是一类新型材料，由绝缘体和导电表面态组成。在这项研究中，我们研究了拓扑绝缘体在高频电磁场下的体积和表面状态的行为，产生了一种称为 Floquet 振荡的振荡。我们成功地在坍缩复兴光谱的前景中确定了 Floquet 振荡的经典和量子行为。这项工作在 Floquet 和 Rabi 频率的帮助下展示了拓扑绝缘体的体积和表面态行为，并描述了 Floquet 振荡在低能物理中的主导地位。数值模拟已用于验证 Floquet 近似。