Self–induced transparency in V and Λ systems Gavriil Shchedrin, Chris O’Brien, Yuri Rostovtsev, and Marlan O. Scully Texas A&M University, College Station, TX 77843, USA |a |b |c Ω s (t) Ω p (t) Δ s Δ p |a |b |c Ω s (t) Ω p (t) 5 10 t 5 10 15 20 x 0.0 0.5 1.0 x, t FIG. 1: Space-time propagation of a soliton through a three–level media Self-induced transparency is a mecha- nism that creates a condition for a non- dissipating propagation of an electromag- netic pulse through an atomic media that is completely opaque otherwise. The well- known McCall-Hahn theorem shows that for even-π pulses with a hyperbolic secant pro- file the pulse propagates freely through a strongly interacting two–level atomic media. In our talk we present self–induced trans- parency and corresponding Pulse Area the- orem for three–level V and Λ systems be- yond the rotating wave approximation. The three–level Pulse Area theorem is formu- lated as a conservation law – the sum of the field intensities of the two propagating pulses equals to the population in the excited state which is expressed in terms of the com- plex pulse areas. The new Pulse Area theorem results in a strong interaction between the two electromagnetic pulses propagating through a three–level atomic media. The three–level Pulse Area theorem provides novel ways for a pulse manipulation and coherent control by applying a control field to the atomic media. The pulse is no longer constrained to be an even-π pulse but can be modified by the complex pulse area of the control field. The application of a coherent control field to the atomic media modifies the space–time propagation of the pulse that provides optimal condition for achieving slow group velocity of the pulse. Speaker: Gavriil Shchedrin Session: Novel Optics 1 See program for placement. PQE-2015 Abstract Processed 01 December 2014 0