Bloch oscillations sustained by nonlinearity
Abstract
We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields of physics such as optics and Bose-Einstein condensates. We demonstrate that designing an optimal relation between the nonlinearity and the linear gradient strength provides extremely long-lived Bloch oscillations with little degradation. Such robust oscillations can be observed for a broad range of parameters and even for moderate nonlinearities and large enough values of linear potential. We also present an approximate analytical description of the wave packet's evolution featuring a hybrid Bloch oscillating wave-soliton behavior that excellently corresponds to the direct numerical simulations.
Cite
@article{arxiv.1705.08646,
title = {Bloch oscillations sustained by nonlinearity},
author = {R. Driben and V. V. Konotop and T. Meier and A. V. Yulin},
journal= {arXiv preprint arXiv:1705.08646},
year = {2017}
}
Comments
Scientific Reports in Press