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

G. T. Adamashvili, D. J. Kaup, A. Knorr, and C. Weber
Phys. Rev. A 78, 013840 – Published 28 July 2008

Abstract

The influence of transverse relaxation on the resonance soliton (2π 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 2π 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 2π 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.

  • Figure
  • Received 4 April 2008

DOI:https://doi.org/10.1103/PhysRevA.78.013840

©2008 American Physical Society

Authors & Affiliations

G. T. Adamashvili*

  • Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
  • and Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany

D. J. Kaup

  • Department of Mathematics & Institute for Simulation and Training, University of Central Florida, Orlando, Florida 32816-1364, USA

A. Knorr

  • Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany

C. Weber

  • Mathematical Physics, Lund University, Box 118, 221 00 Lund, Sweden

  • *Permanent address: Georgian Technical University, Kostava street 77, Tbilisi, 0179, Georgia. gadama@mpipks-dresden.mpg.de
  • kaup@mail.ucf.edu

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Vol. 78, Iss. 1 — July 2008

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