Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-01-28
Nonlinear Sciences
Pattern Formation and Solitons
22pages, 9 figures, submitted to Journal of Physics B
Scientific paper
10.1088/0953-4075/37/7/006
We study the dynamics of one-dimensional solitons in the attractive and repulsive Bose-Einstein condensates (BECs) loaded into an optical lattice (OL), which is combined with an external parabolic potential. First, we demonstrate analytically that, in the repulsive BEC, where the soliton is of the gap type, its effective mass is \emph{negative}. This gives rise to a prediction for the experiment: such a soliton cannot be not held by the usual parabolic trap, but it can be captured (performing harmonic oscillations) by an anti-trapping inverted parabolic potential. We also study the motion of the soliton a in long system, concluding that, in the cases of both the positive and negative mass, it moves freely, provided that its amplitude is below a certain critical value; above it, the soliton's velocity decreases due to the interaction with the OL. At a late stage, the damped motion becomes chaotic. We also investigate the evolution of a two-soliton pulse in the attractive model. The pulse generates a persistent breather, if its amplitude is not too large; otherwise, fusion into a single fundamental soliton takes place. Collisions between two solitons captured in the parabolic trap or anti-trap are considered too. Depending on their amplitudes and phase difference, the solitons either perform stable oscillations, colliding indefinitely many times, or merge into a single soliton. Effects reported in this work for BECs can also be formulated for optical solitons in nonlinear photonic crystals. In particular, the capture of the negative-mass soliton in the anti-trap implies that a bright optical soliton in a self-defocusing medium with a periodic structure of the refractive index may be stable in an anti-waveguide.
Malomed Boris A.
Sakaguchi Hidetsugu
No associations
LandOfFree
Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps 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 Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-588145