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Correlation density matrix: an unbiased analysis of exact diagonalizations

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Preprint
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DOI: 10.1103/PhysRevB.79.212402
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arXiv
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Abstract

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

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