  We study the coupled even number of microcavities with the balanced gain and
loss between any pair of their neighboring components. The effective
non-Hermitian Hamiltonian for such structure has the cyclic permutation-time
symmetry with respect to the cavity modes, and this symmetry determines the
patterns of the dynamical evolutions of the cavity modes. The systems also have
multiple exceptional points for the degeneracy of the existing supermodes,
exhibiting the "phase transition" of system dynamics across these exceptional
points. We illustrate the quantum dynamical properties of the systems with the
evolutions of cavity photon numbers and correlation functions. Moreover, we
demonstrate the effects of the quantum noises accompanying the amplification
and dissipation of the cavity modes. The reciprocal light transportation
predicted with the effective non-Hermitian models for the similar couplers is
violated by the unavoidable quantum noises.
