  The features of superfluid-Mott insulator phase transition in the array of
dissipative nonlinear cavities are analyzed. We show analytically that the
coupling to the bath can be reduced to renormalizing the eigenmodes of
atom-cavity system. This gives rise to a localizing effect and drives the
system into mixed states. For the superfluid state, a dynamical instability
will lead to a sweeping to a localized state of photons. For the Mott state, a
dissipation-induced fluctuation will suppress the restoring of long-range phase
coherence driven by interaction.
