From power law to Anderson localization in nonlinear Schr\"odinger equation with nonlinear randomness
Disordered Systems and Neural Networks
2019-11-26 v1 Statistical Mechanics
Chaotic Dynamics
Optics
Abstract
We study the propagation of coherent waves in a nonlinearly-induced random potential, and find regimes of self-organized criticality and other regimes where the nonlinear equivalent of Anderson localization prevails. The regime of self-organized criticality leads to power-law decay of transport [Phys. Rev. Lett. 121, 233901 (2018)], whereas the second regime exhibits exponential decay.
Keywords
Cite
@article{arxiv.1911.10222,
title = {From power law to Anderson localization in nonlinear Schr\"odinger equation with nonlinear randomness},
author = {Alexander Iomin},
journal= {arXiv preprint arXiv:1911.10222},
year = {2019}
}