Stationary scattering from a nonlinear network
Chaotic Dynamics
2012-12-20 v2 Other Condensed Matter
Quantum Physics
Abstract
Transmission through a complex network of nonlinear one-dimensional leads is discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. We show that the existence of cycles inside the graph leads to a large number of sharp resonances that dominate scattering. The latter resonances are then shown to be extremely sensitive to the nonlinearity and display multi-stability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.
Cite
@article{arxiv.1011.2382,
title = {Stationary scattering from a nonlinear network},
author = {Sven Gnutzmann and Uzy Smilansky and Stanislav Derevyanko},
journal= {arXiv preprint arXiv:1011.2382},
year = {2012}
}
Comments
4 pages, 4 figures