Tripartite correlations in a Heisenberg XXZXXZ spin ring in thermal equilibrium

Tripartite correlations are investigated at length by various witnesses such as tripartite negativity, genuine tripartite entanglement, total tripartite correlations and genuine tripartite correlations. Their behaviors following various tunable system parameters as well as their connections with quantum phase transitions (QPTs) in a three-qubit Heisenberg XXZXXZ spin ring with three-spin interaction in thermal equilibrium are discussed. The results show that these tripartite correlation witnesses can faithfully detect the critical points associated with QPTs at zero temperature limit in this model. In addition, total tripartite correlations and genuine tripartite correlations can even signal critical points with respect to anisotropy ΔΔ at finite low temperatures.

► Tripartite correlations are investigated by means of various correlation witnesses.
► These witnesses can faithfully detect the critical points at zero temperature limit.
► Total and genuine correlations can even signal critical points at low temperatures.