https://doi.org/10.1140/epjst/e2009-01075-9
Soliton propagations in the electromagnetically induced transparency
Department of Physics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan
Corresponding author: wadati@rs.kagu.tus.ac.jp
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.
© EDP Sciences, Springer-Verlag, 2009
