Ground Band and a Generalized GP-equation for Spinor Bose-Einstein Condensates
Abstract
For the spinor Bose-Einstein condensates both the total spin and its Z-component should be conserved. However, in existing theories, only the conservation of has been taken into account. To remedy, this paper is the first attempt to take the conservation of both and into account. For this purpose, a total spin-state with the good quantum numbers and is introduced in the trial wave function, thereby a generalized Gross-Pitaevskii equation has been derived. With this new equation, the ground bands of the Na and Rb condensates have been studied, where the levels distinct in split. It was found that the level density is extremely dense in the bottom of the ground band of Na, i.e., in the vicinity of the ground state. On the contrary, for Rb, the levels are extremely dense in the top of the ground band,
Keywords
Cite
@article{arxiv.cond-mat/0409197,
title = {Ground Band and a Generalized GP-equation for Spinor Bose-Einstein Condensates},
author = {C. G. Bao and Z. B. Li},
journal= {arXiv preprint arXiv:cond-mat/0409197},
year = {2009}
}
Comments
7 page, 5 figures