Abstract The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find that, on ensemble average, the chain eigenstates become more fragmented spatially for intermediate average symmetry domain sizes, depending on the degree of disorder. This is caused by the partial formation of states with approximate local parity confined within fictitious, disorder-induced double wells and perturbed by the coupling to adjacent domains. The dynamical evolution of wave-packets shows that the average site-resolved transfer efficiency is enhanced between regions connected by local symmetry. The transfer may further be drastically amplified in the presence of spatial overlap between the symmetry domains, and in particular when global and local symmetry coexist. Applicable to generic discrete models for matter and light waves, our work provides a perspective to understand and exploit the impact of local order at multiple scales in complex systems.

中文翻译：

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局部对称无序有限链中的传递效率增强和本征态特性

摘要 研究了局部反射对称性对有限无序链内波定位和传输的影响。因此，局部对称性在有限系统中扮演可变范围的空间相关性的角色。我们发现，在整体平均上，对于中间平均对称域大小，链本征态在空间上变得更加分散，这取决于无序程度。这是由于近似局部奇偶性的状态的部分形成被限制在虚构的、由无序引起的双井中，并受到与相邻域的耦合的干扰。波包的动态演化表明，通过局部对称连接的区域之间的平均站点分辨传输效率得到提高。在对称域之间存在空间重叠的情况下，特别是当全局和局部对称性共存时，转移可能会被进一步放大。适用于物质和光波的通用离散模型，我们的工作提供了一个视角来理解和利用复杂系统中多个尺度的局部顺序的影响。