A self-consistent theory of localization in nonlinear random media
arXiv:1607.08519 · doi:10.1088/0953-8984/29/2/024002
Abstract
The self-consistent theory of localization is generalized to account for a weak quadratic nonlinear potential in the wave equation. For spreading wave packets, the theory predicts the destruction of Anderson localization by the nonlinearity and its replacement by algebraic subdiffusion, while classical diffusion remains unaffected. In 3D, this leads to the emergence of a subdiffusion-diffusion transition in place of the Anderson transition. The accuracy and the limitations of the theory are discussed.
Revised version
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Cited by in corpus (5)
- Many-body localization in waveguide QED
- Quench dynamics of a weakly interacting disordered Bose gas in momentum space
- All-optical radiofrequency modulation of Anderson-localized modes
- Subdiffusion in wave packets with periodically kicked interactions
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