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We treat the behavior of atomic excitations inside the systems of few noisy optical cavities by Tavis-Cummings-Hubbard model in RWA approximation. We focus on the influence of the parameters of the model and initial atomic state to the dynamic picture. It was found two interesting patterns of quantum behavior: alternating excitations of two equal groups of atoms inside the same cavity, and the dependence of excitatation transfer between cavities from the phase between atomic excitations in the initial state. The common feature of these effects is the plain behavior of photons as the carrier of atomic excitations. In the first effect the probability to find the explicit photons in the cavity with the fixed atomic excitation is very small in comparizon to the probability of the main atomic excitations. In the second effect, the value -1 of internal phase makes the atomic state completely dark and reduces conductivity to zero; the increasing noise lights up the state and results in the increasing conductivity. This illustrate the ensemble version of the known dephasing assisted transport effect (DAT).