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The storage and subsequent retrieval of coherent pulse trains in the quantummemory (i.e. cavity-dark state) of three-level $\Lambda$ atoms, are consideredfor an optical medium in which adiabatic photon transfer occurs under thecondition of quantum impedance matching. The underlying mechanism is based onintracavity Electromagnetically-Induced Transparency, by which properties of acavity filled with three-level $\Lambda$-type atoms are manipulated by anexternal control field. Under the impedance matching condition, we deriveanalytic expressions that suggest a complete transfer of an input field intothe cavity-dark state by varying the mixing angle in a specific way, and itssubsequent retrieval at a desired time. We illustrate the scheme bydemonstrating the complete transfer and retrieval of a Gaussian, a singlehyperbolic-secant and a periodic train of time-entangled hyperbolic-secantinput photon pulses in the atom-cavity system. For the time-entangledhyperbolic-secant input field, a total controllability of the periodicevolution of the dark state population is made possible by changing the Rabifrequency of the classical driving field, thus allowing to alternately storeand retrieve high-intensity photons from the optically denseElectromagnetically-Induced transparent medium. Such multiplexed photon states,which are expected to allow sharing quantum information among many users, arecurrently of very high demand for applications in long-distance and multiplexedquantum communication.

Storage and retrieval of time-entangled soliton trains in a three-level atom system coupled to an optical cavity