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We propose an approach to the realization of many-body quantum state distributions inspired by combined principles of thermodynamics and mesoscopic physics.
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See supplementary material for (i) the solution of the variational equation, (ii) a discussion of the subsystem charge distribution p A ( Q A ) p_{A}(Q_{A}) , (iii) a derivation of the fluctuation entropy, and (iv) an alternative to the pure state interpretation
Cited in the paper.
The unit normalization follows from ∑ Q A p A ( Q A ) = ∑ ( a , b ) P ( Q ( a , b ) ) Ω ( Q ( a , b ) ) = ∑ n p ( Q n ) Ω ( Q n ) = ∑ Q p ( Q ) \sum_{Q_{A}}p_{A}(Q_{A})=\sum_{(a,b)}\frac{P(Q_{(a,b)})}{\Omega(Q_{(a,b)})}=\sum_{n}\frac{p(Q_{n})}{\Omega(Q_{n})}=\sum_{Q}p(Q)
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