  We investigate the quantum quench dynamics of the interacting Hatano-Nelson
model with open boundary conditions using both abelian bosonization and
numerical methods. Specifically, we follow the evolution of the particle
density and current profile in real space over time by turning the imaginary
vector potential on or off in the presence of weak interactions. Our results
reveal spatio-temporal Friedel oscillations in the system with light cones
propagating ballistically from the open ends, accompanied by local currents of
equal magnitude for both switch off and on protocols. Remarkably, the
bosonization method accurately accounts for the density and current patterns
with a single overall fitting parameter. The continuity equation is satisfied
by the long wavelength part of the density and current, despite the non-unitary
time evolution when the Hatano-Nelson term is switched on.
