  The skin effect, characterized by the tendency of particles to accumulate at
the boundaries, has been extensively studied in non-Hermitian systems. In this
work, we propose an intuitive Lindbladian composed of two chains with reversed
skin localization. The skin steady state is gradually delocalized as the
interchain coupling increases. In the single-body scenario, it corresponds to a
shift in the scaling of the Liouvillian gap $\Delta$ from $\Delta \propto N^0$
to $\Delta \propto N^{-2}$. Notably, exact diagonalization results reveal a
system-size sensitivity of the single-particle Liouvillian spectrum, inherited
from the non-Hermitian effective Hamiltonian's system-size sensitivity. We
predict that even an arbitrarily small coupling will induce dramatic changes in
the Liouvillian spectrum and steady state in the thermodynamic limit, a
phenomenon we term the critical Liouvillian skin effect. Additionally, in the
many-body scenario, by employing the stochastic Schr\"odinger equation to
unravel the Lindblad master equation, it is revealed that the scaling behavior
of steady-state entanglement changes from the area law to the logarithmic law.
This work demonstrates the delocalization of both single-body and many-body
skin steady states, introducing a novel mechanism for inducing entanglement
transitions beyond the quantum Zeno effect.
