Nonlinear waves in coherently coupled Bose-Einstein condensates
Quantum Gases
2016-04-20 v1 Pattern Formation and Solitons
Abstract
We consider a quasi-one-dimensional two-component Bose-Einstein condensate subject to a coherent coupling between its components, such as realized in spin-orbit coupled condensates. We study how nonlinearity modifies the dynamics of the elementary excitations. The spectrum has two branches which are affected in different ways. The upper branch experiences a modulational instability which is stabilized by a long wave-short wave resonance with the lower branch. The lower branch is stable. In the limit of weak nonlinearity and small dispersion it is described by a Korteweg-de Vries equation or by the Gardner equation, depending on the value of the parameters of the system.
Keywords
Cite
@article{arxiv.1602.06141,
title = {Nonlinear waves in coherently coupled Bose-Einstein condensates},
author = {T. Congy and A. Kamchatnov and N. Pavloff},
journal= {arXiv preprint arXiv:1602.06141},
year = {2016}
}