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

The thermodynamics framework of an interacting quantum gas trapped by anarbitrary external potential is reviewed. We show that for each confiningpotential, in the thermodynamic limit, there emerge "generalized" volume andpressure variables ${\cal V}$ and ${\cal P}$, that replace the usual volume andhydrostatic pressure of a uniform system. This scheme is validated with thederivation of the virial expansion of the grand potential. We show that thisapproach yields experimentally amenable procedures to find the equation ofstate of the fluid, ${\cal P} = {\cal P}({\cal V}/N,T)$ with $N$ the number ofatoms, as well as its heat capacity at constant generalized volume $C_{\cal V}= C_{\cal V}({\cal V},N,T)$. With these two functions, all the thermodynamicsproperties of the system may be found. As specific examples we study weaklyinteracting Bose gases trapped by harmonic and by linear quadrupolar potentialswithin the Hartree-Fock approximation. Comparisons with experimental results ofa $^{23}$Na ultracold gas are also presented. We claim that this route shouldprovide an additional and useful tool to analyze both the thermodynamicvariables of a trapped gas as well as its elementary excitations.

Thermodynamics of ultracold trapped gases. Generalized mechanical variables, equation of state and heat capacity