Thermal entanglement of Hubbard dimers in the nonextensive statistics

Hideo Hasegawa

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 8, 1486-1503

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.

Keywords: Hubbard dimers; Nonextensive statistics; Quantum information; Microcanonical approach; Superstatistics (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:8:p:1486-1503

DOI: 10.1016/j.physa.2010.12.033

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