Physics – Quantum Physics
Scientific paper
2010-08-17
Physics
Quantum Physics
8 pages, 3 figures
Scientific paper
We consider a quasi-one-dimensional two-component systm, described by a pair of Nonlinear Schr\"{o}dinger/Gross-Pitaevskii Equations (NLSEs/GPEs), which are coupled by the linear mixing, with local strength $\Omega $, and by the nonlinear incoherent interaction. We assume the self-repulsive nonlinearity in both components, and include effects of a harmonic trapping potential. The model may be realized in terms of periodically modulated slab waveguides in nonlinear optics, and in Bose-Einstein condensates too. Depending on the strengths of the linear and nonlinear couplings between the components, the ground states (GSs) in such binary systems may be symmetric or asymmetric. In this work, we introduce a periodic spatial modulation of the linear coupling, making $\Omega $ an odd, or even function of the coordinate. The sign flips of $\Omega (x)$ strongly modify the structure of the GS in the binary system, as the relative sign of its components tends to lock to the local sign of $\Omega $. Using a systematic numerical analysis, and an analytical approximation, we demonstrate that the GS of the trapped system contains one or several kinks (dark solitons) in one component, while the other component does not change its sign. Final results are presented in the form of maps showing the number of kinks in the GS as a function of the system's parameters, with the odd/even modulation function giving rise to the odd/even number of the kinks. The modulation of $\Omega (x)$ also produces a strong effect on the transition between states with nearly equal and strongly unequal amplitudes of the two components.
Lewenstein Maciej
Malomed Boris A.
Niederberger Armand
No associations
LandOfFree
The ground state of binary systems with a periodic modulation of the linear coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The ground state of binary systems with a periodic modulation of the linear coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ground state of binary systems with a periodic modulation of the linear coupling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-398030