In the fermionic Lipkin model, one-body entanglement entropy is approximately half the up-down mode entanglement and grows with coupling, while fermionic concurrence peaks at the phase transition and requires RPA correlations.
Due to conservation of the single site fermion number np, the elements of the one-body density matrix ρsp in a state of the form (15) satisfy ⟨c† pµcqν ⟩ = δpq⟨c† pµcpν ⟩
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Fermionic entanglement in the Lipkin model
In the fermionic Lipkin model, one-body entanglement entropy is approximately half the up-down mode entanglement and grows with coupling, while fermionic concurrence peaks at the phase transition and requires RPA correlations.