Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-06-21
Proc. R. Soc. A 461, 1364-5021 (2005)
Physics
Condensed Matter
Other Condensed Matter
14 pages, 6 figures; accepted to Proc. Roy. Soc. London A
Scientific paper
10.1098/rspa.2005.1531
We investigate the stability properties of breather soliton trains in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length. This is done so as to generate both attractive and repulsive interaction. The condensate is con ned only by a one dimensional optical lattice and we consider both strong, moderate, and weak con nement. By strong con nement we mean a situation in which a quasi two dimensional soliton is created. Moderate con nement admits a fully three dimensional soliton. Weak con nement allows individual solitons to interact. Stability properties are investigated by several theoretical methods such as a variational analysis, treatment of motion in e ective potential wells, and collapse dynamics. Armed with all the information forthcoming from these methods, we then undertake a numerical calculation. Our theoretical predictions are fully con rmed, perhaps to a higher degree than expected. We compare regions of stability in parameter space obtained from a fully 3D analysis with those from a quasi two-dimensional treatment, when the dynamics in one direction are frozen. We nd that in the 3D case the stability region splits into two parts. However, as we tighten the con nement, one of the islands of stability moves toward higher frequencies and the lower frequency region becomes more and more like that for quasi 2D. We demonstrate these solutions in direct numerical simulations and, importantly, suggest a way of creating robust 3D solitons in experiments in a Bose Einstein Condensate in a one-dimensional lattice.
Infeld Eryk
Matuszewski Michal
Rowlands George
Trippenbach Marek
No associations
LandOfFree
Stability analysis of three-dimensional breather solitons in a Bose-Einstein Condensate 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 Stability analysis of three-dimensional breather solitons in a Bose-Einstein Condensate, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability analysis of three-dimensional breather solitons in a Bose-Einstein Condensate will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-293112