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Influence of non-Markovian relaxation processes on self-induced transparency: Memory function theory for optical solitons

Adamashvili, G. T.; Kaup, D. J.; Knorr, A. and Weber, Carsten LU (2008) In Physical Review A (Atomic, Molecular and Optical Physics) 78(1).
Abstract
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... (More)
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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
78
issue
1
publisher
American Physical Society (APS)
external identifiers
  • wos:000258180300238
  • scopus:48349087921
ISSN
1050-2947
DOI
10.1103/PhysRevA.78.013840
language
English
LU publication?
yes
id
589b3084-0c7d-4c47-bca7-2653e00a616d (old id 1253296)
date added to LUP
2008-10-30 13:51:52
date last changed
2017-05-28 03:47:19
@article{589b3084-0c7d-4c47-bca7-2653e00a616d,
  abstract     = {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.},
  author       = {Adamashvili, G. T. and Kaup, D. J. and Knorr, A. and Weber, Carsten},
  issn         = {1050-2947},
  language     = {eng},
  number       = {1},
  publisher    = {American Physical Society (APS)},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Influence of non-Markovian relaxation processes on self-induced transparency: Memory function theory for optical solitons},
  url          = {http://dx.doi.org/10.1103/PhysRevA.78.013840},
  volume       = {78},
  year         = {2008},
}