How Can the Gross-Pitaevskii Equation Model BECs at Finite Temperatures?

saeid90
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Hello
What are some method or references to consider BECs or atom lasers in finite temperatures with Gross-Pitaevskii equation?
There is quantum mechanical approach but I want a mean field approach which considers thermal or quantum noises too.
If possible, introduce some references.
Thank you
Saeid Ebrahimzadeh
 
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From the BCS theory of superconductivity is well known that the superfluid density smoothly decreases with increasing temperature. Annihilated superfluid carriers become normal and lose their momenta on lattice atoms. So if we induce a persistent supercurrent in a ring below Tc and after that slowly increase the temperature, we must observe a decrease in the actual supercurrent, because the density of electron pairs and total supercurrent momentum decrease. However, this supercurrent...
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