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Ground Band and a Generalized GP-equation for Spinor Bose-Einstein Condensates | | C.G. Bao
; Z.B. Li
; | | Date: |
8 Sep 2004 | | Subject: | Other; Strongly Correlated Electrons | cond-mat.other cond-mat.str-el | | Abstract: | For the spinor Bose-Einstein condensates both the total spin $S$ and its Z-component $S_{Z}$ should be conserved. However, in existing theories, only the conservation of $S_{z}$ has been taken into account. To remedy, this paper is the first attempt to take the conservation of both $% S$ and $S_{Z}$ into account. For this purpose, a total spin-state with the good quantum numbers $S$ and $S_{Z}$ 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 $^{23}$Na and $% ^{87}$Rb condensates have been studied, where the levels distinct in $S$ split. It was found that the level density is extremely dense in the bottom of the ground band of $^{23}$Na, i.e., in the vicinity of the ground state. On the contrary, for $^{87}$Rb, the levels are extremely dense in the top of the ground band, | | Source: | arXiv, cond-mat/0409197 | | Services: | Forum | Review | PDF | Favorites | |
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