Evolution of the average populations of spin components of spin-1 Bose-Einstein condensates beyond mean-field theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  Luo, Ma ^a   Bao, Chengguang ^a   Li, Zhibing ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

ANALYTICAL FORMULA; MEAN-FIELD THEORY;

BOSE-EINSTEIN CONDENSATION;

EID: 42549152716     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.043625     Document Type: Article

References (19)

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19. For the case N0 =N-M and M=N/4, the evolution is well approximated by Eq. 11. Hence, the frequency of oscillation [as shown in Fig. 3] is essentially determined by cos [4 (Sa +3/2+ kmax) τ], where Sa + kmax is the location of the peak of O N0, μ M,S against S [refer to Fig. 1]. It was found numerically that in this case Sa + kmax 0.66N. On the other hand, the strength J can be evaluated under the Thomas-Fermi limit. When N=1000,6000, and 3× 105 R 87 b atoms are trapped in an isotropic harmonic potential with ω=514.5, then the frequency is 0.79, 1.61, and 7.69 Hz, respectively. The latter is close to the frequency given in Fig. 1 of Ref.. Incidentally, 514.5= (ωx ωy ωz) 1/3, where the three ω are those used in the experiment of Ref..