Does Bose Einstein Condensate Defy the Pauli Exclusion Principle?

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Does Bose Einsteine Condesate violate the Pauli Exclusion Principle?
 
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No, because Bosons are not under it. Fermions are however, and they cannot form a BEC.
 
Fermions can form superfluids and superconductors.
The superconducting ground state is formed by a collection of Cooper pairs that are again bosonic. So you could say that it is sort of a BEC but the mechanism is very different.
 
Ahh, of course. Thanks for refreshing my memory.
 
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Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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