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    Dynamical Z2 skin channels and effective Loschmidt cusps

    Yongxu Fu*

    • *Contact author: yongxufu@zjnu.edu.cn

    Phys. Rev. B 114, 245402 – Published 2 October, 2026

    DOI: https://doi.org/10.1103/c4dd-trrc

    Abstract

    We analytically describe the dynamically separated Z2 skin channels (wave-packet evolutions) under a periodic boundary condition in non-Hermitian systems with anomalous time-reversal symmetry by combining the semiclassical worldline perspective with an enhanced understanding of skin effects. These channels, tied to the initial state and relevant symmetries, exhibit individually exponential-dominated time evolution in momentum space, where their amplitude maxima evolve toward the dominant momenta. In real space, their centers of mass circulate around the one-dimensional chain, tracing semiclassical worldlines. Such circulations imply quantum revivals and effective Loschmidt cusps, with the latter showing scale-dependent behavior, a feature distinct from conventional dynamical quantum phase transitions. This work extends our previous findings on worldline windings and the winding-control mechanism to the Z2 skin effects, confirming that the core physics is shared with the ordinary skin effect.

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