English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We formulate a conserving gapless mean-field theory for Bose-Einsteincondensates on the basis of a Luttinger-Ward thermodynamic functional. It isapplied to a weakly interacting uniform gas with density $n$ and s-wavescattering length $a$ to clarify its fundamental thermodynamic properties. Itis found that the condensation here occurs as a first-order transition. Theshift of the transition temperature $\Delta T_c$ from the ideal-gas result$T_{0}$ is positive and given to the leading order by $\Delta T_c = 2.33an^{1/3}T_0$, in agreement with a couple of previous estimates. The theory isexpected to form a new theoretical basis for trapped Bose-Einstein condensatesat finite temperatures.Comment: Minor errors remove

Conserving Gapless Mean-Field Theory for Bose–Einstein Condensates