Influence of non-Markovian relaxation processes on self-induced transparency: Memory function theory for optical solitons
Abbreviated Journal Title
Phys. Rev. A
INVERSE SCATTERING TRANSFORM; COHERENT PULSE-PROPAGATION; QUANTUM DOTS; EQUATION; MEDIA; Optics; Physics, Atomic, Molecular & Chemical
The influence of transverse relaxation on the resonance soliton (2 pi hyperbolic-secant pulse) in solids is considered. It is shown that memory effects can be considered in terms of generalized non-Markovian optical Bloch equations. The equations of self-induced transparency with a memory function are presented. Explicit forms for the first-order effects of this relaxation on the frequency shift and the pulse height of a resonant 2 pi soliton in solids are given and discussed. It is shown that memory effects do lead to a qualitative change in the dynamics of the influence of transverse relaxations on a 2 pi pulse in comparison to the McCall-Hahn theory and others. The dynamics of the changes of the inverse width of the pulse are obtained in both the Markovian and the non-Markovian cases with realistic parameters that can be achieved in current experiments.
Physical Review A
"Influence of non-Markovian relaxation processes on self-induced transparency: Memory function theory for optical solitons" (2008). Faculty Bibliography 2000s. 48.