From power law to Anderson localization in nonlinear Schrödinger equation with nonlinear randomness

Alexander Iomin

Published 2019-11-22Version 1

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.