论文标题
辐射拓扑双音态在调制量子阵列中
Radiative topological biphoton states in modulated qubit arrays
论文作者
论文摘要
我们研究了与波导的空间调节量子阵列（两级原子阵列）中绑定的光子结合对的拓扑特性。虽然绑定对的表现就像是Bloch波，但它们在由质量中心动量和调制阶段形成的参数空间中拓扑并不平淡，后者在其中扮演了合成维度的作用。在每个单位单元格包含三个两级原子（Qubits）的超级晶格中，我们计算了绑定态光子带的Chern号，发现为$（1，-2,1）$。对于开放边界条件，我们发现具有辐射损失的外来拓扑结合对边缘状态。与散装对应关系的常规案例不同，这些新型边缘模式不仅存在于分隔结合对频段的间隙中，而且它们也可能与频带合并并渗透到频段中。通过将两个结构与不同的空间调制结合在一起，我们发现可能在存储和量子信息处理中具有应用程序的长期接口状态。
We study topological properties of bound pairs of photons in spatially-modulated qubit arrays (arrays of two-level atoms) coupled to a waveguide. While bound pairs behave like Bloch waves, they are topologically nontrivial in the parameter space formed by the center-of-mass momentum and the modulation phase, where the latter plays the role of a synthetic dimension. In a superlattice where each unit cell contains three two-level atoms (qubits), we calculate the Chern numbers for the bound-state photon bands, which are found to be $(1,-2,1)$. For open boundary condition, we find exotic topological bound-pair edge states with radiative losses. Unlike the conventional case of the bulk-edge correspondence, these novel edge modes not only exist in gaps separating the bound-pair bands, but they also may merge with and penetrate into the bands. By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
