A KINETIC ENERGY REDUCTION TECHNIQUE AND CHARACTERIZATIONS OF THE GROUND STATES OF SPIN-1 BOSE-EINSTEIN CONDENSATES

被引：11

作者：

Lin, Liren ^{[1
]}

Chern, I-Liang ^{[2
,3
,4
]}

机构：

[1] Acad Sinica, Inst Math, Taipei 10617, Taiwan

[2] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan

[3] Natl Chiao Tung Univ, Ctr Math Modeling & Sci Comp, Hsinchu 30010, Taiwan

[4] Natl Taiwan Univ, Dept Math, Taipei 10617, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 04期

关键词：

Spin-1; BEC; ground state; single-mode approximation; nonlinear system; mass redistribution; VORTEX; GAS;

D O I：

10.3934/dcdsb.2014.19.1119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1119 / 1128

页数：10

共 29 条

[1] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].