Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-25
Phys. Rev. A 70, 043611 (2004)
Physics
Condensed Matter
Statistical Mechanics
RevTex 4, 9 pages, 5 eps figures, to appear in Phys. Rev. A, vol 70, p1
Scientific paper
10.1103/PhysRevA.70.043611
We investigate Bose-Einstein condensation of trapped spin-1 atoms with ferromagnetic or antiferromagnetic two-body contact interactions. We adopt the mean field theory and develop a Hartree-Fock-Popov type approximation in terms of a semiclassical two-fluid model. For antiferromagnetic interactions, our study reveals double condensations as atoms in the $|m_F=0>$ state never seem to condense under the constraints of both the conservation of total atom number $N$ and magnetization $M$. For ferromagnetic interactions, however, triple condensations can occur. Our results can be conveniently understood in terms of the interplay of three factors: (anti) ferromagnetic atom-atom interactions, $M$ conservation, and the miscibilities between and among different condensed components.
Yi Su
You Liangzhi
Zhang Wenxian
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