The Transmission Properties and Dynamical Characterization Driven by the Flat Bands in a Non‐Hermitian Dimerized Lattice

Abstract

ABSTRACT A method of Fourier transform engineering is demonstrated to constructing flat bands in a two‐band model. By introducing a momentum‐dependent pseudo‐‐symmetry potential into a generalized Su–Schrieffer–Heeger model, we generate two momentum‐independent flat bands. The coexistence of flat bands and non‐Hermitian properties induces counterintuitive dynamics. Concretely, flat bands dominate the early‐stage evolution, inducing anomalous localization and accelerating quantum walks compared to conventional systems. This acceleration originates from the breaking of eigenstate orthogonality. This work establishes Fourier transform engineering as a powerful tool for manipulating quantum transmission.