  We theoretically demonstrated the possible emergence of slow-light
self-induced transparency solitons in the infinite one-dimensional coupled
cavity array, with each cavity containing a single qubit. We have predicted a
substantial dependence of pulse transparency on its dimensionless width
$\tau_0$. In particular, short pulses whose widths range from $\tau_0\ll 1$ to
$\tau_0\lesssim 1$ exhibit simple, almost linear dispersion law with a finite
frequency gap of the order of the cavity array photonic band gap. That is, the
medium is opaque for very short pulses with carrier wave frequency below the
photonic gap. When the pulse width exceeds the critical one, a twin
transparency window separated by a finite band gap appears in the soliton pulse
dispersion law. Observation of predicted effects within the proposed setup
would be of interest for understanding the properties of self-induced
transparency effect in general and future applications in the design of quantum
technological devices.
