Anderson Localization in Nonlocal Nonlinear Media
Viola Folli, Claudio Conti
TL;DR
This paper investigates how nonlocal nonlinearities influence Anderson localization, demonstrating through theory and simulations that nonlocality can stabilize localized states in disordered media.
Contribution
It introduces a perturbative method to analyze the nonlocal nonlinear Schrödinger equation with randomness, revealing the stabilizing effect of nonlocality on Anderson states.
Findings
Nonlocality stabilizes Anderson localized states.
Perturbative approach effectively solves the nonlocal nonlinear Schrödinger equation.
Numerical simulations confirm theoretical predictions.
Abstract
The effect of focusing and defocusing nonlinearities on Anderson localization in highly nonlocal media is theoretically and numerically investigated. A perturbative approach is developed to solve the nonlocal nonlinear Schroedinger equation in the presence of a random potential, showing that nonlocality stabilizes Anderson states.
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