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