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Given the ground state wavefunction for an interacting lattice model, wedefine a "correlation density matrix"(CDM) for two disjoint, separated clusters$A$ and $B$, to be the density matrix of their union, minus the direct productof their respective density matrices. The CDM can be decomposed systematicallyby a numerical singular value decomposition, to provide a systematic andunbiased way to identify the operator(s) dominating the correlations, evenunexpected ones.

Correlation density matrix: an unbiased analysis of exact diagonalizations