Multipulse storage and manipulation via solitonic solutions

Abstract

Solutions to the Maxwell-Bloch equations for a $\Lambda$ system are computed using the single-soliton Darboux transformation and the nonlinear superposition principle. These allow complete control of information deposited by a signal pulse (with the help of an auxiliary control pulse) in the coherence of the medium's ground states by injecting sub-sequential pulses. Additionally, we study the encoding of two signal pulses and their manipulation by a control pulse and show that multipulse storage and control are possible as long as the imprints made by encoding the signal pulses are sufficiently separated.

11 pages, 8 figures, 1 table. \c{opyright} 2016 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited