The paper establishes that typical states in a grand-canonical micro-canonical Hilbert subspace produce the grand-canonical density matrix and a GAP/Scrooge wave-function distribution for the subsystem.
Quantum equilibrium and the origin of absolute uncertainty.Journal of Statistical Physics, 67(5–6):843–907, 1992
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Grand-Canonical Typicality
The paper establishes that typical states in a grand-canonical micro-canonical Hilbert subspace produce the grand-canonical density matrix and a GAP/Scrooge wave-function distribution for the subsystem.