Effect of the zero-mode on the response of a trapped bose-condensed gas

Makoto Mine*, Tomoi Koide, Masahiko Okumura, Yoshiya Yamanaka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The dynamical response of a trapped Bose-Einstein condensate (BEC) is formulated consistently with quantum field theory and is numerically evaluated. We regard the BEC as a manifestation of the breaking of the global phase symmetry. Then, the Goldstone theorem implies the existence of a zero energy excitation mode (the zero-mode). We calculate the effect of the zero-mode on the response frequency and show that the contribution of the zero-mode to the first excitation mode is not so important in the parameter set realized in the existing experiment. This is the reason that experimental results can be described using the Bogoliubov prescription, although it breaks the consistency of the description in quantum field theory.

Original languageEnglish
Pages (from-to)683-700
Number of pages18
JournalProgress of Theoretical Physics
Issue number4
Publication statusPublished - 2006 Apr

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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