Nonlinear Anderson localization in Toda lattices

Abstract

We study the Anderson localization in nonlinear systems by taking a nonlinear transmission line realizing the Toda lattice. It is found that the randomness in inductance induces the Anderson localization in the voltage propagation. Furthermore, the nonlinearity enhances the Anderson localization. They are understood in terms of attractive interactions to form a soliton in a nonlinear system. Our results will be applicable in general to the Anderson localization in nonlinear systems that have solitons.

5 pages, 5 figures

References in corpus (2)

• Destruction of Anderson localization by a weak nonlinearity
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization

Cited by in corpus (1)

• Nonlinear topological Toda quasicrystal