$\mathbb{Z}_{2}$ Skin Channels and Effective Dynamical Quantum Phase Transitions

• URL: http://arxiv.org/abs/2604.12450v2
• Date: Wed, 22 Apr 2026 08:24:08 GMT
• Title: $\mathbb{Z}_{2}$ Skin Channels and Effective Dynamical Quantum Phase Transitions
• Abstract summary: We analytically describe the dynamically separated $mathbbZ_2$ skin channels (wavepacket evolutions) under periodic boundary condition (PBC) in non-Hermitian systems.<n>These channels exhibit individually exponential-dominated time evolution in momentum space, where their amplitude maxima evolve toward the dominant momenta.<n>This work rigorously demonstrates our previous findings on worldline windings and the winding-control mechanism, confirming that the core physics is shared with the ordinary skin effect.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analytically describe the dynamically separated $\mathbb{Z}_{2}$ skin channels (wavepacket evolutions) under periodic boundary condition (PBC) in non-Hermitian systems with anomalous time-reversal symmetry (ATRS), 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 center of masses (COMs) circulate around the one-dimensional (1D) chain, tracing semiclassical worldlines. Such circulations imply quantum revivals and effective dynamical quantum phase transitions (DQPTs) regardless of any wavepackets' phase interference, with the latter showing scale-dependent behavior, a feature distinct from conventional DQPTs. This work rigorously demonstrates our previous findings on worldline windings and the winding-control mechanism, confirming that the core physics is shared with the ordinary skin effect.

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