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Tripartite correlations in a Heisenberg XXZ spin ring in thermal equilibrium

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  • Cai, Jiang-Tao
  • Abliz, Ahmad

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.

Suggested Citation

  • Cai, Jiang-Tao & Abliz, Ahmad, 2013. "Tripartite correlations in a Heisenberg XXZ spin ring in thermal equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2607-2614.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:10:p:2607-2614
    DOI: 10.1016/j.physa.2013.01.041
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