Dynamical $\mathbb{Z}_{2}$ Skin Channels and Effective Loschmidt Cusps

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 Loschmidt cusps (LCs), 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 $\mathbb{Z}_{2}$ skin effects, confirming that the core physics is shared with the ordinary skin effect.

Quantum Physics (quant-ph); Other Condensed Matter (cond-mat.other)

arXiv:2604.12450 [quant-ph]

(or arXiv:2604.12450v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.12450 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. B 114, 245402 (2026)

https://doi.org/10.1103/c4dd-trrc Focus to learn more DOI(s) linking to related resources

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