  In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are
accumulated at the boundaries of the systems under open boundary conditions is
called non-Hermitian skin effect (NHSE), which is one of the most iconic and
important features of a non-Hermitian system. In this work, we investigate the
fate of NHSE in the presence of electric fields by analytically calculating the
dynamical evolution of an initial bulk state and numerically computing the
spectral winding number, the distributions of eigenstates, as well as the
dynamical evolutions. We show abundant manipulation effects of dc and ac fields
on the NHSE, and that the physical mechanism behind these effects is the
interplay between the Stark localization, dynamic localization and the NHSE. In
addition, the finite size analysis of the non-Hermitian system with a pure dc
field shows the phenomenon of size-dependent NHSE. We further propose a scheme
to realize the discussed model based on an electronic circuit. The results will
help to deepen the understanding of NHSE and its manipulation.
