Nonlinear wave-packet dynamics in a disordered medium
Mesoscale and Nanoscale Physics
2013-05-29 v1 Quantum Gases
Abstract
In this article we develop an effective theory of pulse propagation in a nonlinear and disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel phenomena which we refer to as "locked explosion" and "diffusive" collapse. In this sense the equation can serve as a paradigmatic model, that can be applied to such distinct physical systems as laser beams propagating in disordered photonic crystals or Bose-Einstein condensates expanding in a disordered environment.
Cite
@article{arxiv.0905.4722,
title = {Nonlinear wave-packet dynamics in a disordered medium},
author = {G. Schwiete and A. M. Finkel'stein},
journal= {arXiv preprint arXiv:0905.4722},
year = {2013}
}