Dynamical skin channels and effective Loschmidt cusps
Phys. Rev. B 114, 245402 – Published 2 October, 2026
DOI: https://doi.org/10.1103/c4dd-trrc
Abstract
We analytically describe the dynamically separated 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 skin effects, confirming that the core physics is shared with the ordinary skin effect.