Tripartite correlations in a Heisenberg XXZ spin ring in thermal equilibrium

Jiang-Tao Cai and Ahmad Abliz

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 10, 2607-2614

Abstract: 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 XXZ 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 Δ at finite low temperatures.

Keywords: Tripartite correlations; Tripartite thermal negativity; Genuine tripartite entanglement; Heisenberg XXZ model (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:10:p:2607-2614

DOI: 10.1016/j.physa.2013.01.041

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