Bloch oscillations sustained by nonlinearity
- Resource Type
- article
- Authors
- R. Driben; V. V. Konotop; T. Meier; A. V. Yulin
- Source
- Scientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
- Subject
- Medicine
Science
- Language
- English
- ISSN
- 2045-2322
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.