  In contrast to a Hermitian system, in which zero modes are usually degenerate
and localized edge state in the thermodynamic limit, the zero mode of a finite
non-Hermitian system can be a single nontrivial long-range entangled state at
the exceptional point (EP). In this work, we demonstrate this feature with a
concrete example based on exact solutions. Numerical simulations show that the
entangled state can be generated through the dynamic process with a high
fidelity.
