Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System
Abstract
When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when the system is nonlinear, correlations are spontaneously formed. We find that for strong nonlinearities, the intensity histograms approach a narrow Gaussian distributed around their mean and phase correlations are formed between neighboring sites. Sites tend to be out-of-phase for a positive nonlinearity and in-phase for a negative one. The field correlations take a universal shape independent of parameters. This nonlinear evolution produces an effectively dynamically disordered potential which exhibits interesting diffusive behavior.
Cite
@article{arxiv.0812.0223,
title = {Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System},
author = {Yaron Silberberg and Yoav Lahini and Yaron Bromberg and Eran Small and Roberto Morandotti},
journal= {arXiv preprint arXiv:0812.0223},
year = {2010}
}
Comments
4 pages, 4 figures. Comments welcome