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, couple 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 invariant of topological insulators. We present numerical results for a topological insulator nanosphere made of TlBiSe₂interacting with a CdSe quantum dot.

我们研究在脉冲磁场中拓扑绝缘体纳米粒子和量子点之间的相互作用。由于拓扑绝缘体是非磁性的，因此在脉冲结束后，只有局部拓扑表面模式（根据偶极子波子模式量化）会偶极耦合到量子点。因此，可以将混合系统视为与两级系统相互作用的单一玻色子模式，其中耦合强度根据磁电极化率进行量化。我们通过与辐射输出模式的连续存储库和声子模式的存储库耦合来实现混合动力与环境的相互作用。使用祖巴列夫格林函数的方法，我们得出了系统的光吸收光谱的表达式。不变的拓扑绝缘子。我们提出了由TlBiSe ₂与CdSe量子点相互作用的拓扑绝缘体纳米球的数值结果。