  The storage and subsequent retrieval of coherent pulse trains in the quantum
memory (i.e. cavity-dark state) of three-level $\Lambda$ atoms, are considered
for an optical medium in which adiabatic photon transfer occurs under the
condition of quantum impedance matching. The underlying mechanism is based on
intracavity Electromagnetically-Induced Transparency, by which properties of a
cavity filled with three-level $\Lambda$-type atoms are manipulated by an
external control field. Under the impedance matching condition, we derive
analytic expressions that suggest a complete transfer of an input field into
the cavity-dark state by varying the mixing angle in a specific way, and its
subsequent retrieval at a desired time. We illustrate the scheme by
demonstrating the complete transfer and retrieval of a Gaussian, a single
hyperbolic-secant and a periodic train of time-entangled hyperbolic-secant
input photon pulses in the atom-cavity system. For the time-entangled
hyperbolic-secant input field, a total controllability of the periodic
evolution of the dark state population is made possible by changing the Rabi
frequency of the classical driving field, thus allowing to alternately store
and retrieve high-intensity photons from the optically dense
Electromagnetically-Induced transparent medium. Such multiplexed photon states,
which are expected to allow sharing quantum information among many users, are
currently of very high demand for applications in long-distance and multiplexed
quantum communication.
