Conserving Gapless Mean-Field Theory for Bose-Einstein Condensates(General)
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概要
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We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density n and s-wave scattering length a to clarify its fundamental thermodynamic properties. It is found that the condensation here occurs as a first-order transition. The shift of the transition temperature ΔT_c from the ideal-gas result T_0 is positive and given to the leading order by ΔT_c=2.33an^<1/3>T_0, in agreement with a couple of previous estimates. The theory is expected to form a new theoretical basis for trapped Bose-Einstein condensates at finite temperatures.
- 社団法人日本物理学会の論文
- 2005-07-15
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