## 抄録

We generalize the perturbation theory of weakly interacting bosons to Bose-Einstein condensates with hyperfine spin [Formula Presented] Analytical expressions of second-order self-energies beyond the mean-field approximation are derived at zero temperature. We further extend the perturbation theory to the finite-temperature case, and derive the corresponding self-energies. We evaluate these self-energies near the poles of the first-order (mean-field) Green’s functions within the on-shell approximation, and expand the results in powers of wave number in the long-wavelength limit. Excitation spectra for each mode are obtained analytically at low temperatures. We also derive the ground-state energy and thermodynamic quantities such as free energy of the system.

本文言語 | English |
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ページ数 | 1 |

ジャーナル | Physical Review A - Atomic, Molecular, and Optical Physics |

巻 | 68 |

号 | 1 |

DOI | |

出版ステータス | Published - 2003 1 1 |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics