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arXiv · 1705.08646

Bloch oscillations sustained by nonlinearity

R. Driben·V. V. Konotop·T. Meier·A. V. Yulin
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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.

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R. Driben, V. V. Konotop, T. Meier, A. V. Yulin. 2017-05-24. Bloch oscillations sustained by nonlinearity. https://arxiv.org/abs/1705.08646

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