Ground-state energy of the spinor Bose-Einstein condensate

W. J. Huang, S. C. Gou

Research output: Contribution to journalArticle

28 Citations (Scopus)

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 languageEnglish
Pages (from-to)4608-4613
Number of pages6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume59
Issue number6
DOIs
Publication statusPublished - 1999 Jan 1

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Bose-Einstein condensates
ground state
divergence
interactions
condensates
energy
perturbation
approximation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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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 journalArticle

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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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