Title: Fano resonances induced by the topological magnetoelectric effect Show Chinese title

Title: 由拓扑电磁效应引起的法诺共振

Abstract: We investigate the interaction between a topological insulator nanoparticle and a quantum dot in an impulse magnetic field. Since topological insulators are nonmagnetic, after the impulse has ended only the localised topological surface modes, which are quantised in terms of dipolar bosonic modes, thus coupling dipolarly to the quantum dot. Hence, the hybrid system can be treated as a single bosonic mode interacting with a two-level system, where the coupling strength is quantised in terms of the magnetoelectric polarizability. We implement the interaction of the hybrid with the environment through the coupling with a continuum reservoir of radiative output modes and a reservoir of phonon modes. Using the method of Zubarev's Green functions, we derive an expression for the optical absorption spectrum of the system. We find the emergence of Fano resonances which are direct manifestations of the $\mathbb{Z}_{2}$ invariant of topological insulators. We present numerical results for a topological insulator nanosphere made of TlBiSe$_2$ interacting with a CdSe quantum dot. Show Chinese abstract

Abstract: 我们研究拓扑绝缘体纳米颗粒与量子点在脉冲磁场中的相互作用。 由于拓扑绝缘体是非磁性的，脉冲结束后只有局域的拓扑表面模式，这些模式以偶极玻色子模式量化，因此以偶极方式与量子点耦合。 因此，混合系统可以被视为一个与双能级系统相互作用的单一玻色子模式，其中耦合强度以磁电极化率量化。 我们通过与辐射输出模式的连续水库和声子模式的水库耦合来实现混合系统与环境的相互作用。 使用祖巴列夫的格林函数方法，我们推导出系统光学吸收谱的表达式。 我们发现法诺共振的出现，这些是拓扑绝缘体$\mathbb{Z}_{2}$不变量的直接体现。 我们给出了由 TlBiSe$_2$构成的拓扑绝缘体纳米球与 CdSe 量子点相互作用的数值结果。