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arXiv · 2602.20615

Robust quantized transport from topological quasienergy winding in long-range-coupling synthetic quantum walks

Chengzhi Qin·Yinglan Li·Bing Wang·Zimeng Zou·Jiaxin Xu·Xinyuan Hu·Alberto Amo·Peixiang Lu
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Abstract

Quantized transport is a prominent feature in topological physics, with canonical examples being the quantum Hall effect and adiabatic Thouless pump, which are based on the Chern number, a topological invariant of 2D systems. Going beyond the Chern-number-based paradigms, quantized transports can also arise from k-direction quasienergy winding unique to periodically driven (Floquet) systems, which are free of dimensionality and adiabaticity limitations. However, lattices displaying winding of their quasienergy bands require asymmetric long-range couplings that are difficult to achieve in lattices of real-space coupled sites. Here, by leveraging photonic synthetic dimensions we construct asymmetric long-range-couplings in a one-dimensional temporal quantum walk based on three coupled fiber loops. We demonstrate quantized transport arising from the winding of quasienergy bands in k direction. We show that the average group velocity of an initial wave packet is proportional to the winding number, which leads to a quantized transport displacement. To better visualize this quantized displacement, we cascade two regions with flipped nearest/long-range couplings and observe a focusing effect with a quantized spatial shift in the focusing point. We also probe the robust properties of quantized transport against obstacles and disorders. The study initiates quasienergy-winding-based topological transports, which can feature applications in precise and robust imaging and information processing.

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Chengzhi Qin, Yinglan Li, Bing Wang, Zimeng Zou, Jiaxin Xu, Xinyuan Hu, Alberto Amo, Peixiang Lu. 2026-02-24. Robust quantized transport from topological quasienergy winding in long-range-coupling synthetic quantum walks. https://arxiv.org/abs/2602.20615

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