  We investigate the entanglement dynamics of the non-Hermitian
Aubry-Andr\'e-Harper (AAH) chain. The results reveal that by increasing
quasiperiodic strength, a phase transition occurs from the area law induced by
non-Hermitian skin effect to the area law arising from Anderson localization.
For the former, the entanglement entropy follows a non-monotonic process, i.e.,
it increases first, then oscillates, and finally converges to a stable value.
While for the latter, the entanglement entropy remains low because the wave
function is not expandable in Anderson's localization region. The early-stage
behavior of entanglement entropy indicates that the two area-law cases are of
different phases. Interestingly, the volume-law behavior emerges at the
critical point between these two area-law phases. Our study reveals that the
area laws induced by the skin effect and the Anderson localization is two
different phases, and that a volume law can emerge at the phase transition
point. The understanding of the entanglement phase transition induced by
disorder and skin effect is thus deepened.
