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Thermal entanglement of Hubbard dimers in the nonextensive statistics

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  • Hasegawa, Hideo

Abstract

The thermal entanglement of the Hubbard dimer (two-site Hubbard model) has been studied with the nonextensive statistics. We have calculated the auto-correlation (Oq), pair correlation (Lq), concurrence (Γq) and conditional entropy (Rq) as functions of entropic index q and the temperature T. The thermal entanglement is shown to considerably depend on the entropic index. For q<1.0, the threshold temperature where Γq vanishes or Rq changes its sign is more increased and the entanglement may survive at higher temperatures than for q=1.0. Relations among Lq, Γq and Rq are investigated. The physical meaning of the entropic index q is discussed with the microcanonical and superstatistical approaches. The nonextensive statistics is applied also to Heisenberg dimers.

Suggested Citation

  • Hasegawa, Hideo, 2011. "Thermal entanglement of Hubbard dimers in the nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(8), pages 1486-1503.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:8:p:1486-1503
    DOI: 10.1016/j.physa.2010.12.033
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    Cited by:

    1. Balcerzak, T. & Szałowski, K., 2017. "Hubbard pair cluster in the external fields. Studies of the chemical potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 252-266.
    2. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the magnetic properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 395-406.
    3. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1069-1084.

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