### 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 |
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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

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*59*(6), 4608-4613. https://doi.org/10.1103/PhysRevA.59.4608

}

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 59, no. 6, pp. 4608-4613. https://doi.org/10.1103/PhysRevA.59.4608

**Ground-state energy of the spinor Bose-Einstein condensate.** / Huang, W. J.; Gou, S. C.

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 -