圆振动骰子格中的拓扑Floquet带
Topological Floquet-bands in a circularly shaken dice lattice
摘要：
光学方块晶格中非相互作用粒子的跳跃导致由三个最低的微带形成的能带结构中的无带隙色散。在我们的研究中，我们发现，一旦一个周期性的驱动力施加到这个光学骰子晶格，原来的光谱特性可以改变，形成三个准能带的准能布里渊区。包含最低准能带Chern数的拓扑相图表明，当最近邻跳跃的跳跃强度各向同性时，系统在很大的驱动强度范围内持续处于Chern数为$C=2$的拓扑非平凡相.伴随着各向异性的最近邻跳变强度，发生拓扑相变，使得陈数从$C=2$变为$C=1$。我们的分析方法进一步验证了这种转变。我们的理论工作表明，利用周期性振动实现光学骰子晶格的非平凡拓扑特性是可行的，通过独立调节最近邻跳跃的强度可以观察到拓扑相变.
英文摘要：
The hoppings of non-interacting particles in the optical dice lattice result in the gapless dispersions in the band structure formed by the three lowest minibands. In our research, we find that once a periodic driving force is applied to this optical dice lattice, the original spectral characteristics could be changed, forming three gapped quasi-energy bands in the quasi-energy Brillouin zone. The topological phase diagram containing the Chern number of the lowest quasi-energy band shows that when the hopping strengths of the nearest-neighboring hoppings are isotropic, the system persists in the topologically non-trivial phases with Chern number $C=2$ within a wide range of the driving strength. Accompanied by the anisotropic nearest-neighboring hopping strengths, a topological phase transition occurs, making Chern number change from $C=2$ to $C=1$. This transition is further verified by our analytical method. Our theoretical work implies that it is feasible to realize the non-trivially topological characteristics of optical dice lattices by applying the periodic shaking, and that topological phase transition can be observed by independently tuning the strength of a type of nearest-neighbor hopping.
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