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arXiv · 1602.06141

Nonlinear waves in coherently coupled Bose-Einstein condensates

T. Congy·A. Kamchatnov·N. Pavloff
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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.

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T. Congy, A. Kamchatnov, N. Pavloff. 2016-02-19. Nonlinear waves in coherently coupled Bose-Einstein condensates. https://doi.org/10.1103/physreva.93.043613

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