Mathematical Modelling of Natural Phenomena

Table of Contents - 2012 - Volume 7, Issue 02 (Solitary waves)  

Research Article

Soliton-pair Propagation under Thermal Bath Effect

N. Boutabbaa1a3 and H. Eleucha1a2a3 c1

a1 Department of Physics and Astronomy, Texas A&M University College Station, Texas 77843, USA

a2 Max Planck Institute for Physics of Complex Systems, 01187 Dresden, Germany

a3 Université of Carthage, Tunis, Tunisia

Abstract

We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.

(Online publication February 29 2012)

Key Words:

  • quantum optics;
  • non linear optics

Mathematics Subject Classification:

  • 81V80;
  • 78M99

Correspondence:

c1 Corresponding author. E-mail: heleuch@fulbrightmail.org