Soliton propagations in the electromagnetically induced transparency

One-dimensional pulse propagations in the electromagnetically induced media are investigated. The Maxwell-Bloch equations for a three-level medium are simplified with the approximations of slowly varying amplitudes, negligible irreversible relaxations and exact resonances. An analysis is made for the case where the integrable condition is satisfied; the oscillation strengths for the two allowed transitions are equal. Through the Bäcklund transformation, one-soliton and two-soliton solutions including the so-called simulton are derived. It is found that collisions of solitons exhibit a variety of dynamical behaviors such as elastic collisions, energy exchanges, compressions and switching phenomena depending on the initial conditions for the system. Those processes are rather common to the multi-component soliton systems and should be useful in various applications such as quantum information processings.