From power law to Anderson localization in nonlinear Schr?dinger equation with nonlinear randomness

摘要

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 [Y. Sharabi et al., Phys. Rev. Lett. 121, 233901 (2018)], whereas the second regime exhibits exponential decay.