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

Makoto Mine, Tomoi Koide, Masahiko Okumura, Yoshiya Yamanaka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume115
Issue number4
DOIs
Publication statusPublished - 2006 Apr

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theorems
Bose-Einstein condensates
gases
excitation
energy
frequency response
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Effect of the zero-mode on the response of a trapped bose-condensed gas. / Mine, Makoto; Koide, Tomoi; Okumura, Masahiko; Yamanaka, Yoshiya.

In: Progress of Theoretical Physics, Vol. 115, No. 4, 04.2006, p. 683-700.

Research output: Contribution to journalArticle

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