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〉

Ωs(t)

Ωp(t)

∆s

∆p

|a〉

|b〉

|c〉

Ωs(t) Ωp(t)

5

10

t5

10

15

20

x

0.0

0.5

1.0

WHx, tL

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 ShchedrinSession: Novel Optics 1See program for placement.

PQE-2015 Abstract Processed 01 December 2014 0