Abstract
It is known that for a weakly interacting Bose-Einstein condensate (BEC), the assumption of a two-body [Formula Presented] interaction described by a constant coupling strength gives rise to a divergent ground-state energy. A similar divergence occurs in the spinor condensate in which the spin-spin interaction is included in addition to the repulsive [Formula Presented] interaction. In this paper, we examine, in the standard Bogoliubov approximation, the ground-state energy of a homogeneous spinor BEC with hyperfine spin [Formula Presented] The renormalized coupling constants are calculated and expressed in terms of the bare ones using the standard second-order perturbation method. With these renormalized coupling constants, we show that the ultraviolet divergence of the ground-state energy can be exactly eliminated.
| Original language | English |
|---|---|
| Pages (from-to) | 4608-4613 |
| Number of pages | 6 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 59 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1999 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
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Ground-state energy of the spinor Bose-Einstein condensate. / Huang, W. J.; Gou, S. C.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 59, No. 6, 01.01.1999, p. 4608-4613.Research output: Contribution to journal › Article
TY - JOUR
T1 - Ground-state energy of the spinor Bose-Einstein condensate
AU - Huang, W. J.
AU - Gou, S. C.
PY - 1999/1/1
Y1 - 1999/1/1
N2 - It is known that for a weakly interacting Bose-Einstein condensate (BEC), the assumption of a two-body [Formula Presented] interaction described by a constant coupling strength gives rise to a divergent ground-state energy. A similar divergence occurs in the spinor condensate in which the spin-spin interaction is included in addition to the repulsive [Formula Presented] interaction. In this paper, we examine, in the standard Bogoliubov approximation, the ground-state energy of a homogeneous spinor BEC with hyperfine spin [Formula Presented] The renormalized coupling constants are calculated and expressed in terms of the bare ones using the standard second-order perturbation method. With these renormalized coupling constants, we show that the ultraviolet divergence of the ground-state energy can be exactly eliminated.
AB - It is known that for a weakly interacting Bose-Einstein condensate (BEC), the assumption of a two-body [Formula Presented] interaction described by a constant coupling strength gives rise to a divergent ground-state energy. A similar divergence occurs in the spinor condensate in which the spin-spin interaction is included in addition to the repulsive [Formula Presented] interaction. In this paper, we examine, in the standard Bogoliubov approximation, the ground-state energy of a homogeneous spinor BEC with hyperfine spin [Formula Presented] The renormalized coupling constants are calculated and expressed in terms of the bare ones using the standard second-order perturbation method. With these renormalized coupling constants, we show that the ultraviolet divergence of the ground-state energy can be exactly eliminated.
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U2 - 10.1103/PhysRevA.59.4608
DO - 10.1103/PhysRevA.59.4608
M3 - Article
AN - SCOPUS:18344393974
VL - 59
SP - 4608
EP - 4613
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 6
ER -