TY - JOUR
T1 - Nonlinear waves in coherently coupled Bose-Einstein condensates
AU - Congy, T.
AU - Kamchatnov, A. M.
AU - Pavloff, N.
PY - 2016/4/11
Y1 - 2016/4/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84963532690&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.93.043613
DO - 10.1103/PhysRevA.93.043613
M3 - Article
AN - SCOPUS:84963532690
VL - 93
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 4
M1 - 043613
ER -