標題: A KINETIC ENERGY REDUCTION TECHNIQUE AND CHARACTERIZATIONS OF THE GROUND STATES OF SPIN-1 BOSE-EINSTEIN CONDENSATES
作者: Lin, Liren
Chern, I-Liang
應用數學系
數學建模與科學計算所(含中心)
Department of Applied Mathematics
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
關鍵字: Spin-1 BEC;ground state;single-mode approximation;nonlinear system;mass redistribution.
公開日期: 1-Jun-2014
摘要: We justify some characterizations of the ground states of spin-1 Bose-Einstein condensates exhibited from numerical simulations. For ferromagnetic systems, we show the validity of the single-mode approximation (SMA). For an antiferromagnetic system with nonzero magnetization, we prove the vanishing of the m(F) = 0 component. In the end of the paper some remaining degenerate situations are also discussed. The proofs of the main results are all based on a simple observation, that a redistribution of masses among different components will reduce the kinetic energy.
URI: http://dx.doi.org/10.3934/dcdsb.2014.19.1119
http://hdl.handle.net/11536/24404
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2014.19.1119
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume: 19
Issue: 4
起始頁: 1119
結束頁: 1128
Appears in Collections:Articles