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Thermal entanglement in three-qubit Heisenberg models

Wang, Xiaoguang; Fu, Hongchen and Solomon, Allan I (2001). Thermal entanglement in three-qubit Heisenberg models. Journal of Physics A: Mathematical and General, 34(50) pp. 11307–11320.

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We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic XXZ model, and the ferromagnetic XXZ model with anisotropy parameter Δ≥1. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the uniform magnetic field can induce entanglement in the antiferromagnetic XXX model, but cannot induce entanglement in the ferromagnetic XXX model.

Item Type: Journal Article
Copyright Holders: 2001 IOP Publishing Ltd
ISSN: 0305-4470
Extra Information: Moved item to repository. WM 21/06/7
Keywords: entanglement; Heisenberg models; thermal models; phase transition
Academic Unit/Department: Science > Physical Sciences
Item ID: 8152
Depositing User: Allan Solomon
Date Deposited: 21 Jun 2007
Last Modified: 14 Jan 2016 16:33
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