Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains

TL;DR

This study explores how local reflection symmetry influences wave localization, eigenstate properties, and transfer efficiency in finite disordered chains, revealing enhanced transfer and state fragmentation depending on symmetry domain size.

Contribution

It demonstrates the role of local symmetry domains in modifying eigenstate fragmentation and transfer efficiency, highlighting the interplay between disorder and local order in finite systems.

Findings

Eigenstates become more fragmented at intermediate symmetry domain sizes.

Wave-packet transfer efficiency is enhanced by local symmetry.

Overlap of symmetry domains can further amplify transfer.

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.