Solitary Vortex Dynamics of 2D Bose-Einstein Condensates with Higher-Order Nonlinear Interactions
Huiping Ou
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
Zhijie Chen
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
Ying Wang *
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
Qi Zhang
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
Xiaomei Liu *
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
Chaohui Li
School of Science, Jiangsu University of Science and Technology, Zhenjiang-212100, China.
*Author to whom correspondence should be addressed.
Abstract
For study of Continuous matter waves in Bose-Einstein condensates in nonlinear and quantum atom optics, the two-dimensional Gross-Pitaevskii equation (GPE) is chosen as the reliable model for studying the dynamics of vortices in the framework of mean-field theory. In related problems in several recent studies showing that higher-order interrelationships are an indispensable component of the GPE even at the mean-field level, by numerically estimating the vortex dynamics variables. In this paper, derive the vortex soliton solutions using the variational method and investigate the effect of higher-order nonlinear corrections on the behavior of the vortex dynamics, which are shown to have an important impact on the vortex dynamics behavior.
Keywords: Vortex soliton, nonlinear equation, variational method, GPE