论文标题
非热拓扑迁移率和光子量子步行中的运输
Non-Hermitian topological mobility edges and transport in photonic quantum walks
论文作者
论文摘要
在非热晶的准晶体中，可以在复杂能量平面中分离局部和扩展状态的移动边缘（ME），这可能是由于在哈密顿量中的非列米特术语而产生的。这样的我具有拓扑性质，即局部和扩展状态的能量在复杂的能量平面中表现出不同的拓扑结构。然而，根据非热性的起源，即跳跃幅度的不对称或不一致电位相位的络合，引入了不同的绕组数，对应于大部分晶格中不同的运输特征：虽然在前一种情况下允许弹道传输，但伪动力学在后来的情况中被估算。通过考虑合成网格晶格中的非热光子量子步行来说明结果。
In non-Hermitian quasicrystals, mobility edges (ME) separating localized and extended states in complex energy plane can arise as a result of non-Hermitian terms in the Hamiltonian. Such ME are of topological nature, i.e. the energies of localized and extended states exhibit distinct topological structures in the complex energy plane. However, depending on the origin of non-Hermiticity, i.e. asymmetry of hopping amplitudes or complexification of the incommensurate potential phase, different winding numbers are introduced, corresponding to different transport features in the bulk of the lattice: while ballistic transport is allowed in the former case, pseudo dynamical localization is observed in the latter case. The results are illustrated by considering non-Hermitian photonic quantum walks in synthetic mesh lattices.
