Fast light solitons in resonant media

Abstract

Using the structure of the Maxwell-Schrodinger equations in two-level systems in the transient domain, we derive both single-soliton and multisoliton (2n pi pulse) solutions associated with fast light in resonant media. The analytical solutions enable us to understand the nature of fast light, and should open up new investigations of fast light in the form of localized solutions in a variety of media. We also derive the fast-soliton pair in three-level systems with gain.