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arXiv · 2504.07510

Wigner distribution, Wigner entropy, and Anomalous Transport of a Generalized Aubry-Andr\'{e} model

Feng Lu·Ao Zhou·Shujie Cheng·Gao Xianlong
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Abstract

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size scaling analysis. Numerical results demonstrate that extended, critical, and localized states can be distinguished via their phase-space representations, particularly the Wigner distribution. The associated Wigner entropy, derived from this distribution, peaks at the critical state, enabling precise localization of the mobility edge. Additionally, wave-packet dynamics reveal anomalous transport behaviors, including superdiffusion and subdiffusion, bridging ballistic transport and the absence of diffusion.

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Feng Lu, Ao Zhou, Shujie Cheng, Gao Xianlong. 2025-04-10. Wigner distribution, Wigner entropy, and Anomalous Transport of a Generalized Aubry-Andr\'{e} model. https://arxiv.org/abs/2504.07510

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