@Article{EAJAM-8-598, author = {Yongjun Yuan, Zhiguo Xu, Qinglin Tang and Hanquan Wang}, title = {The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {3}, pages = {598--610}, abstract = {

A projection gradient method for computing the ground state of the spin-orbit-coupled spin-1 Bose-Einstein condensate at extremely low temperatures is proposed. The continuous gradient flows are discretised by a second-order finite difference method in space and the Crank-Nicolson method in time. Our discretisation preserves the total mass conservation and the energy diminishing property. Numerical results show the efficiency of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300418.300618}, url = {http://global-sci.org/intro/article_detail/eajam/12628.html} }