Generalized Exclusion Principles

The Pauli exclusion principle consists of linear constraints on the occupation numbers of electrons (namely being between 0 and 1). We now consider the spectra of reduced density matrices and compute explicit necessary linear inequalities satisfied by said spectra. Each linear inequality can be thought of as a generalized exclusion principle. We study the polytope defined by these inequalities, which turn out to have nice combinatorial properties. This is based on joint work with JP. Labbe, J.Liebert, A.Padrol, E.Philippe and C.Schilling.