Nonlinear Stark-Wannier equation
Mathematical Physics
2018-12-03 v3 math.MP
Abstract
In this paper we consider stationary solutions to the nonlinear one-dimensional Schroedinger equation with a periodic potential and a Stark-type perturbation. In the limit of large periodic potential the Stark-Wannier ladders of the linear equation become a dense energy spectrum because a cascade of bifurcations of stationary solutions occurs when the ratio between the effective nonlinearity strength and the tilt of the external field increases.
Cite
@article{arxiv.1703.07245,
title = {Nonlinear Stark-Wannier equation},
author = {Andrea Sacchetti},
journal= {arXiv preprint arXiv:1703.07245},
year = {2018}
}
Comments
27 pages, 2 Figures