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Quantum Channels Communication Theory

Scattering State Theory for One-dimensional Floquet Lattices

arXiv
Authors: Ren Zhang, Xiao-Yu Ouyang, Xu-Dong Dai, Xi Dai

Year

2026

Paper ID

3238

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

We develop a Floquet transfer matrix method to solve scattering in extended 1D Floquet lattices, uncovering an underlying conjugate symplectic structure that enforces current conservation across sidebands. By engineering a spatial adiabatic boundary, we suppress multi-channel sideband interference, allowing us to establish a direct mapping between the bulk winding number C and a rigid shift in the transmission energy windows--quantified as Chbarω. We further propose two experimental realizations: cold-atom Bragg scattering to directly verify the transmission shift, and surface-acoustic-wave-induced transport demonstrating the quantized zero-bias current plateau.

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  • We develop a Floquet transfer matrix method to solve scattering in extended 1D Floquet lattices, uncovering an underlying conjugate symplectic structure that enforces current...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.19991 [2] arXiv https://arxiv.org/abs/2601.19991 [3] Publisher https://arxiv.org/abs/2601.19991

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