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arXiv · 1911.10222

From power law to Anderson localization in nonlinear Schr\"odinger equation with nonlinear randomness

Alexander Iomin
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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.

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Alexander Iomin. 2019-11-22. From power law to Anderson localization in nonlinear Schr\"odinger equation with nonlinear randomness. https://doi.org/10.1103/physreve.100.052123

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