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Can bosonic and fermionic condensates explain superfluid and superconducting properties? Are they better than the theory of BCS and Landau?

Edited:

My question is based in this lecture pesentation From BEC to CBS. In particular in this slide:

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    $\begingroup$ "Bosonic and fermionic condensates" is not a theory. Until you actually have a theory, your question isn't really answerable. What's more, BCS theory already involves fermionic condensates. $\endgroup$
    – Chris - Regenerate Response ♦
    Oct 16, 2017 at 19:29
  • $\begingroup$ @Chris please, check out my edit. $\endgroup$
    – Dinesh Shankar
    Oct 16, 2017 at 19:50
  • $\begingroup$ I still don't understand your question. What two things are you trying to compare? BCS and Landaus theory of super-fluidity are how you describe weak coupling condensates. " bosonic and fermionic condensates" are things with superfluid or superconducting properties (zero viscosity, quantized vortices...) not theories themselves. $\endgroup$
    – Shane P Kelly
    Oct 17, 2017 at 0:25
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    $\begingroup$ Superfluidity in He^4 is more or less a Bose-Einstein condensate, in He^3 it comes from Cooper pairing of fermions to form a quasi Bose-Einstein condensate. The second order phase transition is responsible for the phenomenology of the superfluid state. A superconductor is a pseudo Bose-Einstein condensate made on top of the Cooper instability in the Fermi gas (also called a metal, this later being described by the Landau theory of the Fermi liquid). The superconducting phenomenology is explained by a Anderson-Higgs phenomenon (the electromagnetic gauge redundancy goes to a smaller group). $\endgroup$
    – FraSchelle
    Oct 17, 2017 at 7:38
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    $\begingroup$ The Anderson-Higgs phenomenon is encapsulated in the Bardeen-Cooper-Schriffer (BCS) model, as it is in the Ginzburg-Landau formalism. BCS theory is considered as the sufficient model to describe first generation superconductors (before the 80's, say). It's based on a mean-field approximation of an effective theory of the electron-phonon coupling in a Fermi liquid. Ginzburg-Landau functional describes all the electromagnetic properties of a superconductor. $\endgroup$
    – FraSchelle
    Oct 17, 2017 at 7:42

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