A semiclassical phase‐space perspective of band‐ and topological‐insulator regimes of 2D Dirac materials and normal‐ and superradiant phases of atom‐field interacting models is given in terms of delocalization, entropies, and quantum correlation measures. From this point of view, the low‐energy limit of tight‐binding models describing the electronic band structure of topological 2D Dirac materials such as phosphorene and silicene with tunable band gaps share similarities with Rabi‐Dicke and Jaynes‐Cummings atom‐field interaction models, respectively. In particular, the edge state of the 2D Dirac materials in the topological insulator phase exhibits a Schrödinger's cat structure similar to the ground state of two‐level atoms in a cavity interacting with a one‐mode radiation field in the superradiant phase. Delocalization seems to be a common feature of topological insulator and superradiant phases.

中文翻译：

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二维Dirac材料的拓扑绝缘体相与原子场系统的超辐射相之间的类比

从离域，熵和量子相关性的角度，给出了二维狄拉克材料的带，拓扑绝缘体状态以及原子场相互作用模型的正，超辐射相的半经典相空间视角。从这个角度来看，描述具有可调带隙的2D Dirac拓扑拓扑材料的电子能带结构的紧密结合模型的低能限与Rabi-Dicke和Jaynes-Cummings原子场相互作用模型具有相似性， 分别。特别是，二维Dirac材料在拓扑绝缘体相中的边缘状态表现出薛定er的猫形结构，类似于腔中两级原子的基态与超辐射相中的单模辐射场相互作用。