Nambu-Goldstone mode in trapped Bose-Einstein condensation

知威 小出, 真如 峰, 雅彦 奥村 +1 more

T. Nakajima, M. Ueda

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Y. Yamanaka, Masahiko Okumura, M. Mine

The system of the trapped Bose–Einstein condensation is investigated from the viewpoint of Quantum Field Theory. It is pointed out that the Nambu–Goldstone mode, which is a discrete mode due to the trapping potential, creates observable effects through fluctuations. The way how the Nambu–Goldstone mode is treated is not unique. The introduction of quantum coordinates is a possible candidate.

Masahiko Okumura, Y. Yamanaka

Masahiko Okumura, Y. Yamanaka

The effects of quantum coordinates associated with the Nambu-Goldstone mode in a trapped Bose-Einstein condensate are investigated at zero and finite temperatures. We develop a loop expansion and perform numerical calculations over a wide range of temperature, i.e., between zero and the critical temperatures. Our results are compared with those obtained in cases without the Nambu-Goldstone mode (the Bogoliubov approximation) and with the Nambu-Goldstone mode as a zero-energy particle mode.