Generalized Pauli constraints in large systems: The Pauli principle dominates

Lately, there has been a renewed interest in fermionic one-body reduced density matrices and their restrictions beyond the Pauli principle. These are usually quantified using polytope of allowed, ordered eigenvalues such matrices. Here, we prove that this polytope’s volume rapidly approaches predicted by principle as dimension space grows additional corrections, caused generalized constraints, much lower order unless number fermions is small. Indeed, argue constraints most restrictive (effective) few-fermion settings with low Hilbert dimension.