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Open Quantum Systems Decoherence Quantum Chemistry Entanglement Theory Quantum Correlations

Thermal entanglement of Hubbard dimers in the nonextensive statistics

arXiv
Authors: Hideo Hasegawa

Year

2010

Paper ID

9061

Status

Preprint

Abstract Read

~2 min

Abstract Words

120

Citations

N/A

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.

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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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  • The thermal entanglement of the Hubbard dimer (two-site Hubbard model) has been studied with the nonextensive statistics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1004.0530 [2] arXiv https://arxiv.org/abs/1004.0530 [3] Publisher https://arxiv.org/abs/1004.0530

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