TY - JOUR
T1 - The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 598
EP - 610
PY - 2018
DA - 2018/08
SN - 8
DO - http://doi.org/10.4208/eajam.300418.300618
UR - https://global-sci.org/intro/article_detail/eajam/12628.html
KW - Spin-orbit-coupled spin-1 Bose-Einstein condensate, projection gradient method, ground state, energy functional minimisation.
AB - <p style="text-align: justify;">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.</p>