Theoretical study reveals accelerated quantum walks and anomalous localization in non-Hermitian flat-band lattices, highlighting new mechanisms for quantum transmission control.
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.
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Li et al. (2026) studied this question.
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