Ground state energy of the $f=1$ spinor Bose-Einstein condensates

Details Ground state energy of the $f=1$ spinor Bose-Einstein condensates Ground state energy of the $f=1$ spinor Bose-Einstein condensates

1998-09-10

arxiv.org/abs/cond-mat/9809153v1

Physics

Condensed Matter

14 pages, no figures, submitted to PRA

Scientific paper

10.1103/PhysRevA.59.4608

We calculate, in the standard Bogoliubov approximation, the ground state energy of the spinor BEC with hyperfine spin $f=1$ where the two-body repulsive hard-core and spin exchange interactions are both included. The coupling constants characterized these two competing interactions are expressed in terms of the corresponding s-wave scattering lengths using second-order perturbation methods. We show that the ultraviolet divergence arising in the ground state energy corrections can be exactly eliminated.

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