Analysis

While the von Neumann entropy provides an objective measure of entanglement, it does not give information about which states are entangled. In order to determine which states are mixed, we can use three additional quantities.

1. The first quantity are the two-body energies $E_K$. We search for configurations where two or more energies are nearly degenerate, as this indicates a mixing of states. o The second quantity we use are the coefficients $C_{kl}$ themselves. In the Hartree basis, these coefficients give a good indication of which states are entangled.
2. And the third is the particle density. For the state $\vert \Psi\rangle$ above, we can compute the particle density. The particle density can be used as a tool to qualitatively visualize the entanglement of a state.

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