Title
Dynamics Of Vortices In Two-Dimensional Bose-Einstein Condensates
Abstract
We derive the asymptotic motion equations of vortices for the time-dependent Gross-Pitaevskii equation with a harmonic trap potential. The asymptotic motion equations form a system of ordinary differential equations which can be regarded as a perturbation of the standard Kirchhoff problem. From the numerical simulation on the asymptotic motion equations, we observe that the bounded and collisionless trajectories of three vortices form chaotic, quasi 2-or quasi 3-periodic orbits. Furthermore, a new phenomenon of 1:1-topological synchronization is observed in the chaotic trajectories of two vortices.
Year
DOI
Venue
2002
10.1142/S0218127402004644
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
vortices, topological synchronization, Bose-Einstein condensates
Journal
12
Issue
ISSN
Citations 
4
0218-1274
1
PageRank 
References 
Authors
0.48
0
3
Name
Order
Citations
PageRank
Shu-ming Chang1308.19
Wen-wei Lin245667.35
Tai-chia Lin343.29