  We investigate the connection between pseudo-Hermitian and Hermitian
descriptions for a lattice, which consists of a set of isomorphic
pseudo-Hermitian clusters. We show that such non-Hermitian systems can act as
Hermitian systems. This is made possible by considering the dynamics of a state
involving the superposition of a single eigenmode of each isomorphic clusters.
It still holds when multiple eigenmodes are involved when additional
restriction on the state is imposed. This Hermitian dynamics is demonstrated
for the case of an exactly solvable PT-symmetric ladder system.
